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106677440 = 265333367
BaseRepresentation
bin1100101101111…
…00010011000000
321102201202221022
412112330103000
5204302134230
614330245012
72433512642
oct626742300
9242652838
10106677440
1155242381
122b886768
1319140c5c
141024c892
1595731e5
hex65bc4c0

106677440 has 28 divisors (see below), whose sum is σ = 254026416. Its totient is φ = 42670848.

The previous prime is 106677437. The next prime is 106677463. The reversal of 106677440 is 44776601.

It is a happy number.

It is a super-2 number, since 2×1066774402 = 22760152409907200, 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 106677440.

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, 166364 + ... + 167003.

It is an arithmetic number, because the mean of its divisors is an integer number (9072372).

Almost surely, 2106677440 is an apocalyptic number.

106677440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106677440 is an abundant number, since it is smaller than the sum of its proper divisors (147348976).

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

106677440 is an equidigital number, since it uses as much as digits as its factorization.

106677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333384 (or 333374 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 106677440 is about 10328.4771384750. The cubic root of 106677440 is about 474.2684065600.

The spelling of 106677440 in words is "one hundred six million, six hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 333367 666734 1333468 1666835 2666936 3333670 5333872 6667340 10667744 13334680 21335488 26669360 53338720 106677440