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92113920 = 2103251999
BaseRepresentation
bin1010111110110…
…00110000000000
320102022212112200
411133120300000
5142040121140
613050153200
72165645463
oct537306000
9212285480
1092113920
1147aa5608
1226a22800
13161121a2
14c33b2da
158148030
hex57d8c00

92113920 has 132 divisors (see below), whose sum is σ = 319332000. Its totient is φ = 24551424.

The previous prime is 92113913. The next prime is 92113933. The reversal of 92113920 is 2931129.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45081 + ... + 47079.

Almost surely, 292113920 is an apocalyptic number.

92113920 is a gapful number since it is divisible by the number (90) 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 92113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159666000).

92113920 is an abundant number, since it is smaller than the sum of its proper divisors (227218080).

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

92113920 is a wasteful number, since it uses less digits than its factorization.

92113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 92113920 is about 9597.5996999250. The cubic root of 92113920 is about 451.6219984299.

It can be divided in two parts, 9211 and 3920, that added together give a palindrome (13131).

The spelling of 92113920 in words is "ninety-two million, one hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 1999 2304 2560 2880 3072 3840 3998 4608 5120 5760 5997 7680 7996 9216 9995 11520 11994 15360 15992 17991 19990 23040 23988 29985 31984 35982 39980 46080 47976 59970 63968 71964 79960 89955 95952 119940 127936 143928 159920 179910 191904 239880 255872 287856 319840 359820 383808 479760 511744 575712 639680 719640 767616 959520 1023488 1151424 1279360 1439280 1535232 1919040 2046976 2302848 2558720 2878560 3070464 3838080 4605696 5117440 5757120 6140928 7676160 9211392 10234880 11514240 15352320 18422784 23028480 30704640 46056960 92113920