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108388920 = 233519137347
BaseRepresentation
bin1100111010111…
…10001000111000
321112221201122110
412131132020320
5210221421140
614431052320
72454201453
oct635361070
9245851573
10108388920
1156201222
12303710a0
13195bcc73
141057649a
1597b0380
hex675e238

108388920 has 128 divisors (see below), whose sum is σ = 345772800. Its totient is φ = 27104256.

The previous prime is 108388897. The next prime is 108388997. The reversal of 108388920 is 29883801.

It is a Cunningham number, because it is equal to 104112-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312187 + ... + 312533.

It is an arithmetic number, because the mean of its divisors is an integer number (2701350).

Almost surely, 2108388920 is an apocalyptic number.

108388920 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 108388920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172886400).

108388920 is an abundant number, since it is smaller than the sum of its proper divisors (237383880).

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

108388920 is a wasteful number, since it uses less digits than its factorization.

108388920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 108388920 is about 10410.9999519739. Note that the first 4 decimals coincide. The cubic root of 108388920 is about 476.7912715359.

The spelling of 108388920 in words is "one hundred eight million, three hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 137 152 190 228 274 285 347 380 411 456 548 570 685 694 760 822 1041 1096 1140 1370 1388 1644 1735 2055 2082 2280 2603 2740 2776 3288 3470 4110 4164 5205 5206 5480 6593 6940 7809 8220 8328 10410 10412 13015 13186 13880 15618 16440 19779 20820 20824 26030 26372 31236 32965 39045 39558 41640 47539 52060 52744 62472 65930 78090 79116 95078 98895 104120 131860 142617 156180 158232 190156 197790 237695 263720 285234 312360 380312 395580 475390 570468 713085 791160 903241 950780 1140936 1426170 1806482 1901560 2709723 2852340 3612964 4516205 5419446 5704680 7225928 9032410 10838892 13548615 18064820 21677784 27097230 36129640 54194460 108388920