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109039680 = 2632537861
BaseRepresentation
bin1100111111111…
…01000001000000
321121011210022200
412133331001000
5210403232210
614453033200
72462551641
oct637750100
9247153280
10109039680
1156606142
1230625800
131978a229
14106a56c8
15988d0c0
hex67fd040

109039680 has 84 divisors (see below), whose sum is σ = 375060972. Its totient is φ = 29076480.

The previous prime is 109039669. The next prime is 109039691. The reversal of 109039680 is 86930901.

It is an interprime number because it is at equal distance from previous prime (109039669) and next prime (109039691).

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 28901376 = 8952^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16051 + ... + 21810.

Almost surely, 2109039680 is an apocalyptic number.

109039680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109039680 is an abundant number, since it is smaller than the sum of its proper divisors (266021292).

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

109039680 is a wasteful number, since it uses less digits than its factorization.

109039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37884 (or 37871 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109039680 is about 10442.2066633447. The cubic root of 109039680 is about 477.7435761027.

The spelling of 109039680 in words is "one hundred nine million, thirty-nine thousand, six hundred eighty".

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 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 37861 75722 113583 151444 189305 227166 302888 340749 378610 454332 567915 605776 681498 757220 908664 1135830 1211552 1362996 1514440 1703745 1817328 2271660 2423104 2725992 3028880 3407490 3634656 4543320 5451984 6057760 6814980 7269312 9086640 10903968 12115520 13629960 18173280 21807936 27259920 36346560 54519840 109039680