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108199392 = 2537592729
BaseRepresentation
bin1100111001011…
…11110111100000
321112121002122220
412130233313200
5210144340032
614423031040
72452452060
oct634576740
9245532586
10108199392
1156091894
123029b480
1319554912
14105273a0
15977412c
hex672fde0

108199392 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 30379008.

The previous prime is 108199379. The next prime is 108199397. The reversal of 108199392 is 293991801.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108199397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38284 + ... + 41012.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2108199392 is an apocalyptic number.

108199392 is a gapful number since it is divisible by the number (12) 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 108199392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

108199392 is an abundant number, since it is smaller than the sum of its proper divisors (222021408).

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

108199392 is a wasteful number, since it uses less digits than its factorization.

108199392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 108199392 is about 10401.8936737500. The cubic root of 108199392 is about 476.5132049278.

The spelling of 108199392 in words is "one hundred eight million, one hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2729 2832 3304 4956 5458 5664 6608 8187 9912 10916 13216 16374 19103 19824 21832 32748 38206 39648 43664 57309 65496 76412 87328 114618 130992 152824 161011 229236 261984 305648 322022 458472 483033 611296 644044 916944 966066 1127077 1288088 1833888 1932132 2254154 2576176 3381231 3864264 4508308 5152352 6762462 7728528 9016616 13524924 15457056 18033232 27049848 36066464 54099696 108199392