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5630040 = 2333513401
BaseRepresentation
bin10101011110100001011000
3101121000222000
4111132201120
52420130130
6320401000
765566053
oct25364130
911530860
105630040
1131a5a29
121a76160
1312217b0
14a67a9a
15763260
hex55e858

5630040 has 128 divisors (see below), whose sum is σ = 20260800. Its totient is φ = 1382400.

The previous prime is 5630039. The next prime is 5630047. The reversal of 5630040 is 400365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5629995 and 5630022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5630047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13840 + ... + 14240.

Almost surely, 25630040 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 5630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130400).

5630040 is an abundant number, since it is smaller than the sum of its proper divisors (14630760).

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

5630040 is a wasteful number, since it uses less digits than its factorization.

5630040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5630040 is about 2372.7705325210. The cubic root of 5630040 is about 177.8977656417.

The spelling of 5630040 in words is "five million, six hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 401 468 520 540 585 702 780 802 936 1080 1170 1203 1404 1560 1604 1755 2005 2340 2406 2808 3208 3510 3609 4010 4680 4812 5213 6015 7020 7218 8020 9624 10426 10827 12030 14040 14436 15639 16040 18045 20852 21654 24060 26065 28872 31278 36090 41704 43308 46917 48120 52130 54135 62556 72180 78195 86616 93834 104260 108270 125112 140751 144360 156390 187668 208520 216540 234585 281502 312780 375336 433080 469170 563004 625560 703755 938340 1126008 1407510 1876680 2815020 5630040