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107147304 = 233211592293
BaseRepresentation
bin1100110001011…
…11000000101000
321110121122110200
412120233000220
5204412203204
614344312200
72440510545
oct630570050
9243548420
10107147304
11555333a0
122ba72660
1319276a94
1410331bcc
159617539
hex662f028

107147304 has 96 divisors (see below), whose sum is σ = 322077600. Its totient is φ = 31904640.

The previous prime is 107147279. The next prime is 107147321. The reversal of 107147304 is 403741701.

It is a super-2 number, since 2×1071473042 = 22961089508936832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45582 + ... + 47874.

It is an arithmetic number, because the mean of its divisors is an integer number (3354975).

Almost surely, 2107147304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107147304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038800).

107147304 is an abundant number, since it is smaller than the sum of its proper divisors (214930296).

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

107147304 is a wasteful number, since it uses less digits than its factorization.

107147304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107147304 is about 10351.1981915139. The cubic root of 107147304 is about 474.9636965791.

The spelling of 107147304 in words is "one hundred seven million, one hundred forty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2293 2596 3894 4248 4586 5192 5841 6879 7788 9172 11682 13758 15576 18344 20637 23364 25223 27516 41274 46728 50446 55032 75669 82548 100892 135287 151338 165096 201784 227007 270574 302676 405861 454014 541148 605352 811722 908028 1082296 1217583 1488157 1623444 1816056 2435166 2976314 3246888 4464471 4870332 5952628 8928942 9740664 11905256 13393413 17857884 26786826 35715768 53573652 107147304