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5580432 = 24321113271
BaseRepresentation
bin10101010010011010010000
3101111111220200
4111102122100
52412033212
6315335200
765301324
oct25223220
911444820
105580432
113171730
121a51500
131205040
14a53984
157536dc
hex552690

5580432 has 120 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 1555200.

The previous prime is 5580409. The next prime is 5580457. The reversal of 5580432 is 2340855.

It is a super-2 number, since 2×55804322 = 62282442613248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5580396 and 5580405.

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, 20457 + ... + 20727.

Almost surely, 25580432 is an apocalyptic number.

5580432 is a gapful number since it is divisible by the number (52) 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 5580432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207744).

5580432 is an abundant number, since it is smaller than the sum of its proper divisors (12835056).

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

5580432 is a wasteful number, since it uses less digits than its factorization.

5580432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5580432 is about 2362.2938005252. The cubic root of 5580432 is about 177.3737196099.

The spelling of 5580432 in words is "five million, five hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 271 286 312 396 429 468 528 542 572 624 792 813 858 936 1084 1144 1287 1584 1626 1716 1872 2168 2288 2439 2574 2981 3252 3432 3523 4336 4878 5148 5962 6504 6864 7046 8943 9756 10296 10569 11924 13008 14092 17886 19512 20592 21138 23848 26829 28184 31707 35772 38753 39024 42276 47696 53658 56368 63414 71544 77506 84552 107316 116259 126828 143088 155012 169104 214632 232518 253656 310024 348777 429264 465036 507312 620048 697554 930072 1395108 1860144 2790216 5580432