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107174640 = 2435446561
BaseRepresentation
bin1100110001101…
…01101011110000
321110200000222010
412120311223300
5204414042030
614345042520
72440653336
oct630655360
9243600863
10107174640
1155551991
122ba86440
1319286361
141033bb56
1596206b0
hex6635af0

107174640 has 40 divisors (see below), whose sum is σ = 332242128. Its totient is φ = 28579840.

The previous prime is 107174629. The next prime is 107174651. The reversal of 107174640 is 46471701.

It is an interprime number because it is at equal distance from previous prime (107174629) and next prime (107174651).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1071746402 = 22972806918259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107174598 and 107174607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223041 + ... + 223520.

Almost surely, 2107174640 is an apocalyptic number.

107174640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107174640 is an abundant number, since it is smaller than the sum of its proper divisors (225067488).

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

107174640 is a wasteful number, since it uses less digits than its factorization.

107174640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446577 (or 446571 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107174640 is about 10352.5185341539. The cubic root of 107174640 is about 475.0040849141.

The spelling of 107174640 in words is "one hundred seven million, one hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 446561 893122 1339683 1786244 2232805 2679366 3572488 4465610 5358732 6698415 7144976 8931220 10717464 13396830 17862440 21434928 26793660 35724880 53587320 107174640