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107133136 = 24111274793
BaseRepresentation
bin1100110001010…
…11100011010000
321110120221000221
412120223203100
5204411230021
614344122424
72440421335
oct630534320
9243527027
10107133136
1155523790
122ba66414
13192704b6
141032a98c
159613241
hex662b8d0

107133136 has 40 divisors (see below), whose sum is σ = 228271104. Its totient is φ = 48303360.

The previous prime is 107133119. The next prime is 107133161. The reversal of 107133136 is 631331701.

It is a super-2 number, since 2×1071331362 = 22955017658388992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107133136.

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, 19956 + ... + 24748.

Almost surely, 2107133136 is an apocalyptic number.

107133136 is a gapful number since it is divisible by the number (16) 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 107133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114135552).

107133136 is an abundant number, since it is smaller than the sum of its proper divisors (121137968).

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

107133136 is a wasteful number, since it uses less digits than its factorization.

107133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 107133136 is about 10350.5138036718. The cubic root of 107133136 is about 474.9427609698.

Adding to 107133136 its reverse (631331701), we get a palindrome (738464837).

The spelling of 107133136 in words is "one hundred seven million, one hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 2032 2794 4793 5588 9586 11176 19172 22352 38344 52723 76688 105446 210892 421784 608711 843568 1217422 2434844 4869688 6695821 9739376 13391642 26783284 53566568 107133136