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260466144 = 2532713189
BaseRepresentation
bin11111000011001…
…10010111100000
3200011010001101020
433201212113200
51013134404034
641502405440
76311632341
oct1741462740
9604101336
10260466144
11124032084
1273290880
1341c684a3
14268420c8
1517d00249
hexf8665e0

260466144 has 24 divisors (see below), whose sum is σ = 683723880. Its totient is φ = 86822016.

The previous prime is 260466137. The next prime is 260466161. The reversal of 260466144 is 441664062.

260466144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2604661442 = 135685224340457472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1356499 + ... + 1356690.

It is an arithmetic number, because the mean of its divisors is an integer number (28488495).

Almost surely, 2260466144 is an apocalyptic number.

260466144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

260466144 is an abundant number, since it is smaller than the sum of its proper divisors (423257736).

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

260466144 is a wasteful number, since it uses less digits than its factorization.

260466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713202 (or 2713194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 260466144 is about 16138.9635354938. The cubic root of 260466144 is about 638.6316337107.

The spelling of 260466144 in words is "two hundred sixty million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2713189 5426378 8139567 10852756 16279134 21705512 32558268 43411024 65116536 86822048 130233072 260466144