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105682746 = 23132358909
BaseRepresentation
bin1100100110010…
…01011100111010
321100212020110210
412103021130322
5204023321441
614253051550
72422200651
oct623113472
9240766423
10105682746
1154723014
122b486bb6
1318b83290
1410070198
159428616
hex64c973a

105682746 has 32 divisors (see below), whose sum is σ = 237525120. Its totient is φ = 31103424.

The previous prime is 105682697. The next prime is 105682781. The reversal of 105682746 is 647286501.

It is a super-2 number, since 2×1056827462 = 22337685604201032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27661 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (7422660).

Almost surely, 2105682746 is an apocalyptic number.

105682746 is an abundant number, since it is smaller than the sum of its proper divisors (131842374).

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

105682746 is a wasteful number, since it uses less digits than its factorization.

105682746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58950.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 105682746 is about 10280.2113791497. The cubic root of 105682746 is about 472.7897251697.

The spelling of 105682746 in words is "one hundred five million, six hundred eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 58909 117818 176727 353454 765817 1354907 1531634 2297451 2709814 4064721 4594902 8129442 17613791 35227582 52841373 105682746