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107172460 = 22543112433
BaseRepresentation
bin1100110001101…
…01001001101100
321110122220222101
412120311021230
5204414004320
614345024444
72440644103
oct630651154
9243586871
10107172460
115555028a
122ba85124
1319285375
141033b03a
15961ec0a
hex663526c

107172460 has 24 divisors (see below), whose sum is σ = 225602496. Its totient is φ = 42766080.

The previous prime is 107172451. The next prime is 107172467. The reversal of 107172460 is 64271701.

It is a super-2 number, since 2×1071724602 = 22971872364903200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107172467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2404 + ... + 14836.

It is an arithmetic number, because the mean of its divisors is an integer number (9400104).

Almost surely, 2107172460 is an apocalyptic number.

107172460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107172460 is an abundant number, since it is smaller than the sum of its proper divisors (118430036).

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

107172460 is a wasteful number, since it uses less digits than its factorization.

107172460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12871 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 107172460 is about 10352.4132452293. The cubic root of 107172460 is about 475.0008642644. Note that the first 3 decimals are identical.

The spelling of 107172460 in words is "one hundred seven million, one hundred seventy-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 431 862 1724 2155 4310 8620 12433 24866 49732 62165 124330 248660 5358623 10717246 21434492 26793115 53586230 107172460