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107714352 = 24329223347
BaseRepresentation
bin1100110101110…
…01011100110000
321111200110022110
412122321130300
5210033324402
614404405320
72445362004
oct632713460
9244613273
10107714352
1155890429
12300a6840
1319414c05
141043c704
1596ca56c
hex66b9730

107714352 has 80 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 34411776.

The previous prime is 107714317. The next prime is 107714377. The reversal of 107714352 is 253417701.

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, 310243 + ... + 310589.

It is an arithmetic number, because the mean of its divisors is an integer number (3624768).

Almost surely, 2107714352 is an apocalyptic number.

107714352 is a gapful number since it is divisible by the number (12) 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 107714352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

107714352 is an abundant number, since it is smaller than the sum of its proper divisors (182267088).

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

107714352 is a wasteful number, since it uses less digits than its factorization.

107714352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 107714352 is about 10378.5525002285. The cubic root of 107714352 is about 475.8000949530.

The spelling of 107714352 in words is "one hundred seven million, seven hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 223 232 347 348 446 464 669 694 696 892 1041 1338 1388 1392 1784 2082 2676 2776 3568 4164 5352 5552 6467 8328 10063 10704 12934 16656 19401 20126 25868 30189 38802 40252 51736 60378 77381 77604 80504 103472 120756 154762 155208 161008 232143 241512 309524 310416 464286 483024 619048 928572 1238096 1857144 2244049 3714288 4488098 6732147 8976196 13464294 17952392 26928588 35904784 53857176 107714352