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108839136 = 25371491087
BaseRepresentation
bin1100111110011…
…00000011100000
321120210121020010
412133030003200
5210330323021
614444444520
72461055160
oct637140340
9246717203
10108839136
11564894aa
1230549740
1319719b73
14106525a0
15984d976
hex67cc0e0

108839136 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 30859776.

The previous prime is 108839113. The next prime is 108839153. The reversal of 108839136 is 631938801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 108839094 and 108839103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99585 + ... + 100671.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2108839136 is an apocalyptic number.

108839136 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 108839136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

108839136 is an abundant number, since it is smaller than the sum of its proper divisors (220172064).

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

108839136 is a wasteful number, since it uses less digits than its factorization.

108839136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 108839136 is about 10432.5996760156. The cubic root of 108839136 is about 477.4505102990.

The spelling of 108839136 in words is "one hundred eight million, eight hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 336 447 596 672 894 1043 1087 1192 1788 2086 2174 2384 3129 3261 3576 4172 4348 4768 6258 6522 7152 7609 8344 8696 12516 13044 14304 15218 16688 17392 22827 25032 26088 30436 33376 34784 45654 50064 52176 60872 91308 100128 104352 121744 161963 182616 243488 323926 365232 485889 647852 730464 971778 1133741 1295704 1943556 2267482 2591408 3401223 3887112 4534964 5182816 6802446 7774224 9069928 13604892 15548448 18139856 27209784 36279712 54419568 108839136