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108070920 = 23325893373
BaseRepresentation
bin1100111000100…
…00100000001000
321112100120102200
412130100200020
5210131232140
614420200200
72451405366
oct634204010
9245316380
10108070920
1156004311
1230239060
131950b2b9
14104d2636
15974b030
hex6710808

108070920 has 96 divisors (see below), whose sum is σ = 355282200. Its totient is φ = 28486656.

The previous prime is 108070913. The next prime is 108070931. The reversal of 108070920 is 29070801.

It can be written as a sum of positive squares in 4 ways, for example, as 99321156 + 8749764 = 9966^2 + 2958^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30354 + ... + 33726.

Almost surely, 2108070920 is an apocalyptic number.

108070920 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 108070920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177641100).

108070920 is an abundant number, since it is smaller than the sum of its proper divisors (247211280).

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

108070920 is a wasteful number, since it uses less digits than its factorization.

108070920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 108070920 is about 10395.7164255284. The cubic root of 108070920 is about 476.3245321177.

The spelling of 108070920 in words is "one hundred eight million, seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3373 3560 4005 5340 6408 6746 8010 10119 10680 13492 16020 16865 20238 26984 30357 32040 33730 40476 50595 60714 67460 80952 101190 121428 134920 151785 202380 242856 300197 303570 404760 600394 607140 900591 1200788 1214280 1500985 1801182 2401576 2701773 3001970 3602364 4502955 5403546 6003940 7204728 9005910 10807092 12007880 13508865 18011820 21614184 27017730 36023640 54035460 108070920