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105260496 = 24311199357
BaseRepresentation
bin1100100011000…
…10010111010000
321100001210020220
412101202113100
5203421313441
614240033040
72415461625
oct621422720
9240053226
10105260496
1154464850
122b302780
1318a66023
14dda034c
159393466
hex64625d0

105260496 has 40 divisors (see below), whose sum is σ = 296644704. Its totient is φ = 31896960.

The previous prime is 105260479. The next prime is 105260497. The reversal of 105260496 is 694062501.

It is a super-2 number, since 2×1052604962 = 22159544036332032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105260497) 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 7 ways as a sum of consecutive naturals, for example, 99151 + ... + 100206.

Almost surely, 2105260496 is an apocalyptic number.

105260496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105260496 is an abundant number, since it is smaller than the sum of its proper divisors (191384208).

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

105260496 is a wasteful number, since it uses less digits than its factorization.

105260496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199379 (or 199373 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105260496 is about 10259.6537953286. The cubic root of 105260496 is about 472.1592156542.

The spelling of 105260496 in words is "one hundred five million, two hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 199357 398714 598071 797428 1196142 1594856 2192927 2392284 3189712 4385854 4784568 6578781 8771708 9569136 13157562 17543416 26315124 35086832 52630248 105260496