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109928960 = 295231867
BaseRepresentation
bin1101000110101…
…10001000000000
321122211222011222
412203112020000
5211120211320
614524054212
72503244411
oct643261000
9248758158
10109928960
1157063289
1230994368
1319a0bc2b
1410857808
1599b6825
hex68d6200

109928960 has 80 divisors (see below), whose sum is σ = 275178816. Its totient is φ = 42037248.

The previous prime is 109928939. The next prime is 109928989. The reversal of 109928960 is 69829901.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57947 + ... + 59813.

Almost surely, 2109928960 is an apocalyptic number.

109928960 is a gapful number since it is divisible by the number (10) 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 109928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137589408).

109928960 is an abundant number, since it is smaller than the sum of its proper divisors (165249856).

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

109928960 is an equidigital number, since it uses as much as digits as its factorization.

109928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 109928960 is about 10484.7012356099. The cubic root of 109928960 is about 479.0388172917.

The spelling of 109928960 in words is "one hundred nine million, nine hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1280 1472 1840 1867 2560 2944 3680 3734 5888 7360 7468 9335 11776 14720 14936 18670 29440 29872 37340 42941 58880 59744 74680 85882 119488 149360 171764 214705 238976 298720 343528 429410 477952 597440 687056 858820 955904 1194880 1374112 1717640 2389760 2748224 3435280 4779520 5496448 6870560 10992896 13741120 21985792 27482240 54964480 109928960