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260166432 = 25323247109
BaseRepresentation
bin11111000000111…
…01001100100000
3200010112211020210
433200131030200
51013100311212
641452134120
76306243501
oct1740351440
9603484223
10260166432
11123947989
1273167340
1341b91c46
14267a4ba8
1517c9153c
hexf81d320

260166432 has 144 divisors (see below), whose sum is σ = 735799680. Its totient is φ = 80441856.

The previous prime is 260166421. The next prime is 260166457. The reversal of 260166432 is 234661062.

It is a super-2 number, since 2×2601664322 = 135373144679221248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260166432.

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, 2386794 + ... + 2386902.

It is an arithmetic number, because the mean of its divisors is an integer number (5109720).

Almost surely, 2260166432 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 260166432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367899840).

260166432 is an abundant number, since it is smaller than the sum of its proper divisors (475633248).

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

260166432 is a wasteful number, since it uses less digits than its factorization.

260166432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 260166432 is about 16129.6755082054. The cubic root of 260166432 is about 638.3865871140.

The spelling of 260166432 in words is "two hundred sixty million, one hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 109 138 141 184 188 218 276 282 327 368 376 436 529 552 564 654 736 752 872 1058 1081 1104 1128 1308 1504 1587 1744 2116 2162 2208 2256 2507 2616 3174 3243 3488 4232 4324 4512 5014 5123 5232 6348 6486 7521 8464 8648 10028 10246 10464 12696 12972 15042 15369 16928 17296 20056 20492 24863 25392 25944 30084 30738 34592 40112 40984 49726 50784 51888 57661 60168 61476 74589 80224 81968 99452 103776 115322 117829 120336 122952 149178 163936 172983 198904 230644 235658 240672 245904 298356 345966 353487 397808 461288 471316 491808 596712 691932 706974 795616 922576 942632 1193424 1383864 1413948 1845152 1885264 2386848 2710067 2767728 2827896 3770528 5420134 5535456 5655792 8130201 10840268 11311584 16260402 21680536 32520804 43361072 65041608 86722144 130083216 260166432