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104137128 = 23327319813
BaseRepresentation
bin1100011010100…
…00000110101000
321020221201021200
412031100012220
5203124342003
614200004200
72403102534
oct615200650
9236851250
10104137128
1153867847
122aa60660
1318761904
14db8abc4
1592206a3
hex63501a8

104137128 has 48 divisors (see below), whose sum is σ = 285916020. Its totient is φ = 34235136.

The previous prime is 104137127. The next prime is 104137133. The reversal of 104137128 is 821731401.

It can be written as a sum of positive squares in 2 ways, for example, as 92968164 + 11168964 = 9642^2 + 3342^2 .

It is not an unprimeable number, because it can be changed into a prime (104137127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4651 + ... + 15162.

Almost surely, 2104137128 is an apocalyptic number.

104137128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104137128 is an abundant number, since it is smaller than the sum of its proper divisors (181778892).

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

104137128 is a wasteful number, since it uses less digits than its factorization.

104137128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19898 (or 19891 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104137128 is about 10204.7600657732. The cubic root of 104137128 is about 470.4735351166.

Adding to 104137128 its reverse (821731401), we get a palindrome (925868529).

The spelling of 104137128 in words is "one hundred four million, one hundred thirty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 19813 39626 59439 79252 118878 158504 178317 237756 356634 475512 713268 1426536 1446349 2892698 4339047 5785396 8678094 11570792 13017141 17356188 26034282 34712376 52068564 104137128