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107033088 = 293174099
BaseRepresentation
bin1100110000100…
…11001000000000
321110101211210110
412120103020000
5204400024323
614342031320
72436523551
oct630231000
9243354713
10107033088
11554655a8
122ba18540
1319236ab6
1410302328
1595e3793
hex6613200

107033088 has 80 divisors (see below), whose sum is σ = 301989600. Its totient is φ = 33570816.

The previous prime is 107033081. The next prime is 107033089. The reversal of 107033088 is 880330701.

It is a super-2 number, since 2×1070330882 = 22912163853631488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107033081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24063 + ... + 28161.

It is an arithmetic number, because the mean of its divisors is an integer number (3774870).

Almost surely, 2107033088 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 107033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994800).

107033088 is an abundant number, since it is smaller than the sum of its proper divisors (194956512).

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

107033088 is an equidigital number, since it uses as much as digits as its factorization.

107033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 107033088 is about 10345.6796780105. The cubic root of 107033088 is about 474.7948706148.

Adding to 107033088 its reverse (880330701), we get a palindrome (987363789).

The spelling of 107033088 in words is "one hundred seven million, thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4099 4352 6528 8198 8704 12297 13056 16396 24594 26112 32792 49188 65584 69683 98376 131168 139366 196752 209049 262336 278732 393504 418098 524672 557464 787008 836196 1049344 1114928 1574016 1672392 2098688 2229856 3148032 3344784 4459712 6296064 6689568 8919424 13379136 17838848 26758272 35677696 53516544 107033088