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106513932 = 22376072089
BaseRepresentation
bin1100101100101…
…00011000001100
321102102110122110
412112110120030
5204231421212
614322544020
72432232150
oct626243014
9242373573
10106513932
1155140548
122b808010
13190b46c5
1410209060
15953ea3c
hex659460c

106513932 has 48 divisors (see below), whose sum is σ = 284641280. Its totient is φ = 30367872.

The previous prime is 106513921. The next prime is 106513949. The reversal of 106513932 is 239315601.

It is a super-2 number, since 2×1065139322 = 22690435420201248, 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 106513932.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49944 + ... + 52032.

Almost surely, 2106513932 is an apocalyptic number.

106513932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106513932 is an abundant number, since it is smaller than the sum of its proper divisors (178127348).

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

106513932 is a wasteful number, since it uses less digits than its factorization.

106513932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106513932 is about 10320.5587058066. The cubic root of 106513932 is about 474.0259737587.

The spelling of 106513932 in words is "one hundred six million, five hundred thirteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 607 1214 1821 2089 2428 3642 4178 4249 6267 7284 8356 8498 12534 12747 14623 16996 25068 25494 29246 43869 50988 58492 87738 175476 1268023 2536046 3804069 5072092 7608138 8876161 15216276 17752322 26628483 35504644 53256966 106513932