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107021136 = 2432976883
BaseRepresentation
bin1100110000100…
…00001101010000
321110101020101210
412120100031100
5204344134021
614341500120
72436443655
oct630201520
9243336353
10107021136
1155457622
122ba11640
1319231521
14102dbc2c
1595dee76
hex6610350

107021136 has 40 divisors (see below), whose sum is σ = 286008480. Its totient is φ = 34443136.

The previous prime is 107021119. The next prime is 107021141. The reversal of 107021136 is 631120701.

It is a super-2 number, since 2×1070211362 = 22907047101460992, which contains 22 as substring.

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, 37050 + ... + 39833.

It is an arithmetic number, because the mean of its divisors is an integer number (7150212).

Almost surely, 2107021136 is an apocalyptic number.

107021136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107021136 is an abundant number, since it is smaller than the sum of its proper divisors (178987344).

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

107021136 is a wasteful number, since it uses less digits than its factorization.

107021136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76923 (or 76917 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 107021136 is about 10345.1020294630. The cubic root of 107021136 is about 474.7771970784. Note that the first 3 decimals are identical.

Adding to 107021136 its reverse (631120701), we get a palindrome (738141837).

The spelling of 107021136 in words is "one hundred seven million, twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 76883 153766 230649 307532 461298 615064 922596 1230128 1845192 2229607 3690384 4459214 6688821 8918428 13377642 17836856 26755284 35673712 53510568 107021136