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108079752 = 233111929743
BaseRepresentation
bin1100111000100…
…10101010001000
321112101000112210
412130102222020
5210132023002
614420305120
72451443214
oct634225210
9245330483
10108079752
115600aa10
12302421a0
1319512321
14104d5944
15974d96c
hex6712a88

108079752 has 128 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 29917440.

The previous prime is 108079747. The next prime is 108079753. The reversal of 108079752 is 257970801.

It is a self number, because there is not a number n which added to its sum of digits gives 108079752.

It is not an unprimeable number, because it can be changed into a prime (108079753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145093 + ... + 145835.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2108079752 is an apocalyptic number.

108079752 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 108079752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

108079752 is an abundant number, since it is smaller than the sum of its proper divisors (213328248).

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

108079752 is a wasteful number, since it uses less digits than its factorization.

108079752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 108079752 is about 10396.1412071980. The cubic root of 108079752 is about 476.3375074974.

Subtracting 108079752 from its reverse (257970801), we obtain a square (149891049 = 122432).

The spelling of 108079752 in words is "one hundred eight million, seventy-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 29 33 38 44 57 58 66 76 87 88 114 116 132 152 174 209 228 232 264 319 348 418 456 551 627 638 696 743 836 957 1102 1254 1276 1486 1653 1672 1914 2204 2229 2508 2552 2972 3306 3828 4408 4458 5016 5944 6061 6612 7656 8173 8916 12122 13224 14117 16346 17832 18183 21547 24244 24519 28234 32692 36366 42351 43094 48488 49038 56468 64641 65384 72732 84702 86188 98076 112936 129282 145464 155287 169404 172376 196152 237017 258564 310574 338808 409393 465861 474034 517128 621148 711051 818786 931722 948068 1228179 1242296 1422102 1637572 1863444 1896136 2456358 2844204 3275144 3726888 4503323 4912716 5688408 9006646 9825432 13509969 18013292 27019938 36026584 54039876 108079752