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5040102320 = 2451110753527
BaseRepresentation
bin1001011000110100…
…11101101110110000
3111000020211201121022
410230122131232300
540310231233240
62152042515012
7235620106601
oct45432355660
914006751538
105040102320
112157008520
12b87b05a68
1362425cb86
1435b53dda8
151e77289b5
hex12c69dbb0

5040102320 has 80 divisors (see below), whose sum is σ = 12903245568. Its totient is φ = 1815601920.

The previous prime is 5040102259. The next prime is 5040102323. The reversal of 5040102320 is 232010405.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5040102323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67397 + ... + 120923.

Almost surely, 25040102320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451622784).

5040102320 is an abundant number, since it is smaller than the sum of its proper divisors (7863143248).

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

5040102320 is a wasteful number, since it uses less digits than its factorization.

5040102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53658 (or 53652 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5040102320 is about 70993.6780283991. The cubic root of 5040102320 is about 1714.5353789022.

Adding to 5040102320 its reverse (232010405), we get a palindrome (5272112725).

The spelling of 5040102320 in words is "five billion, forty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 856 880 1070 1177 1712 2140 2354 4280 4708 5885 8560 9416 11770 18832 23540 47080 53527 94160 107054 214108 267635 428216 535270 588797 856432 1070540 1177594 2141080 2355188 2943985 4282160 4710376 5727389 5887970 9420752 11454778 11775940 22909556 23551880 28636945 45819112 47103760 57273890 63001279 91638224 114547780 126002558 229095560 252005116 315006395 458191120 504010232 630012790 1008020464 1260025580 2520051160 5040102320