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5320010400 = 253522396377
BaseRepresentation
bin1001111010001100…
…01110101010100000
3111201202112112022020
410331012032222200
541343410313100
62235522141440
7245556225255
oct47506165240
914652475266
105320010400
112290009611
1210457b1880
1366a244763
143867a342c
152120b95a0
hex13d18eaa0

5320010400 has 144 divisors (see below), whose sum is σ = 18069718464. Its totient is φ = 1356974080.

The previous prime is 5320010389. The next prime is 5320010411. The reversal of 5320010400 is 40100235.

It is an interprime number because it is at equal distance from previous prime (5320010389) and next prime (5320010411).

It is a super-2 number, since 2×53200104002 = 56605021312216320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5320010400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7012 + ... + 103388.

It is an arithmetic number, because the mean of its divisors is an integer number (125484156).

Almost surely, 25320010400 is an apocalyptic number.

5320010400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5320010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034859232).

5320010400 is an abundant number, since it is smaller than the sum of its proper divisors (12749708064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5320010400 is a wasteful number, since it uses less digits than its factorization.

5320010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96423 (or 96410 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5320010400 is about 72938.4014083117. The cubic root of 5320010400 is about 1745.7048845878.

Adding to 5320010400 its reverse (40100235), we get a palindrome (5360110635).

The spelling of 5320010400 in words is "five billion, three hundred twenty million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 96377 192754 289131 385508 481885 578262 771016 963770 1156524 1445655 1542032 1927540 2216671 2313048 2409425 2891310 3084064 3855080 4433342 4626096 4818850 5782620 6650013 7228275 7710160 8866684 9252192 9637700 11083355 11565240 13300026 14456550 15420320 17733368 19275400 22166710 23130480 26600052 28913100 33250065 35466736 38550800 44333420 46260960 53200104 55416775 57826200 66500130 70933472 77101600 88666840 106400208 110833550 115652400 133000260 166250325 177333680 212800416 221667100 231304800 266000520 332500650 354667360 443334200 532001040 665001300 886668400 1064002080 1330002600 1773336800 2660005200 5320010400