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108908640 = 25325531427
BaseRepresentation
bin1100111110111…
…01000001100000
321120221010120100
412133131001200
5210340034030
614450142400
72461464621
oct637350140
9246833510
10108908640
1156526745
1230581a00
13197426a9
141066da48
159864360
hex67dd060

108908640 has 144 divisors (see below), whose sum is σ = 378928368. Its totient is φ = 28474368.

The previous prime is 108908621. The next prime is 108908671. The reversal of 108908640 is 46809801.

It is a happy number.

108908640 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1089086402 = 23722183733299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108908595 and 108908604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75607 + ... + 77033.

It is an arithmetic number, because the mean of its divisors is an integer number (2631447).

Almost surely, 2108908640 is an apocalyptic number.

108908640 is a gapful number since it is divisible by the number (10) 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 108908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189464184).

108908640 is an abundant number, since it is smaller than the sum of its proper divisors (270019728).

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

108908640 is a wasteful number, since it uses less digits than its factorization.

108908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 108908640 is about 10435.9302412387. The cubic root of 108908640 is about 477.5521209884.

The spelling of 108908640 in words is "one hundred eight million, nine hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1427 1440 1590 1696 1908 2120 2385 2544 2854 3180 3816 4240 4281 4770 5088 5708 6360 7135 7632 8480 8562 9540 11416 12720 12843 14270 15264 17124 19080 21405 22832 25440 25686 28540 34248 38160 42810 45664 51372 57080 64215 68496 75631 76320 85620 102744 114160 128430 136992 151262 171240 205488 226893 228320 256860 302524 342480 378155 410976 453786 513720 605048 680679 684960 756310 907572 1027440 1134465 1210096 1361358 1512620 1815144 2054880 2268930 2420192 2722716 3025240 3403395 3630288 4537860 5445432 6050480 6806790 7260576 9075720 10890864 12100960 13613580 18151440 21781728 27227160 36302880 54454320 108908640