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109929120 = 2535732717
BaseRepresentation
bin1101000110101…
…10001010100000
321122211222101220
412203112022200
5211120212440
614524055040
72503245030
oct643261240
9248758356
10109929120
1157063414
1230994480
1319a0c022
14108578c0
1599b68d0
hex68d62a0

109929120 has 96 divisors (see below), whose sum is σ = 395756928. Its totient is φ = 25125888.

The previous prime is 109929073. The next prime is 109929139. The reversal of 109929120 is 21929901.

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

It is a super-2 number, since 2×1099291202 = 24168822847948800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12999 + ... + 19718.

It is an arithmetic number, because the mean of its divisors is an integer number (4122468).

Almost surely, 2109929120 is an apocalyptic number.

109929120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109929120 is an abundant number, since it is smaller than the sum of its proper divisors (285827808).

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

109929120 is a wasteful number, since it uses less digits than its factorization.

109929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32742 (or 32734 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 109929120 is about 10484.7088657721. The cubic root of 109929120 is about 479.0390497030.

The spelling of 109929120 in words is "one hundred nine million, nine hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 32717 65434 98151 130868 163585 196302 229019 261736 327170 392604 458038 490755 523472 654340 687057 785208 916076 981510 1046944 1145095 1308680 1374114 1570416 1832152 1963020 2290190 2617360 2748228 3140832 3435285 3664304 3926040 4580380 5234720 5496456 6870570 7328608 7852080 9160760 10992912 13741140 15704160 18321520 21985824 27482280 36643040 54964560 109929120