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107174140 = 22529257719
BaseRepresentation
bin1100110001101…
…01100011111100
321110200000021121
412120311203330
5204414033030
614345040324
72440652023
oct630654374
9243600247
10107174140
1155551577
122ba860a4
1319286068
141033b8ba
15962047a
hex66358fc

107174140 has 48 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 41172992.

The previous prime is 107174077. The next prime is 107174183. The reversal of 107174140 is 41471701.

It is a happy number.

It is a super-2 number, since 2×1071741402 = 22972592569479200, which contains 22 as substring.

It is a congruent number.

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, 148701 + ... + 149419.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2107174140 is an apocalyptic number.

107174140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107174140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

107174140 is an abundant number, since it is smaller than the sum of its proper divisors (126883460).

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

107174140 is a wasteful number, since it uses less digits than its factorization.

107174140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 107174140 is about 10352.4943854126. The cubic root of 107174140 is about 475.0033462368.

The spelling of 107174140 in words is "one hundred seven million, one hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 257 290 514 580 719 1028 1285 1438 2570 2876 3595 5140 7190 7453 14380 14906 20851 29812 37265 41702 74530 83404 104255 149060 184783 208510 369566 417020 739132 923915 1847830 3695660 5358707 10717414 21434828 26793535 53587070 107174140