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260085376 = 2719229467
BaseRepresentation
bin11111000000010…
…01011010000000
3200010101201001201
433200021122000
51013040213001
641450310544
76305455255
oct1740113200
9603351051
10260085376
111238a1aa1
1273128454
1341b64095
142678342c
1517c77501
hexf809680

260085376 has 64 divisors (see below), whose sum is σ = 548964000. Its totient is φ = 122397696.

The previous prime is 260085373. The next prime is 260085377. The reversal of 260085376 is 673580062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2600853762 = 135288805618122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260085373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556695 + ... + 557161.

Almost surely, 2260085376 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 260085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274482000).

260085376 is an abundant number, since it is smaller than the sum of its proper divisors (288878624).

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

260085376 is a wasteful number, since it uses less digits than its factorization.

260085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 260085376 is about 16127.1626766769. The cubic root of 260085376 is about 638.3202828416.

The spelling of 260085376 in words is "two hundred sixty million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 229 304 458 467 608 916 934 1216 1832 1868 2432 3664 3736 4351 7328 7472 8702 8873 14656 14944 17404 17746 29312 29888 34808 35492 59776 69616 70984 106943 139232 141968 213886 278464 283936 427772 556928 567872 855544 1135744 1711088 2031917 3422176 4063834 6844352 8127668 13688704 16255336 32510672 65021344 130042688 260085376