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108059840 = 2657192539
BaseRepresentation
bin1100111000011…
…01110011000000
321112100000020022
412130031303000
5210130403330
614420033012
72451331160
oct634156300
9245300208
10108059840
1155aa6a59
1230232768
1319506245
14104cc5a0
159747ae5
hex670dcc0

108059840 has 112 divisors (see below), whose sum is σ = 309676800. Its totient is φ = 35085312.

The previous prime is 108059839. The next prime is 108059849. The reversal of 108059840 is 48950801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 108059840.

It is not an unprimeable number, because it can be changed into a prime (108059849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41291 + ... + 43829.

Almost surely, 2108059840 is an apocalyptic number.

108059840 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 108059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154838400).

108059840 is an abundant number, since it is smaller than the sum of its proper divisors (201616960).

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

108059840 is a wasteful number, since it uses less digits than its factorization.

108059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 108059840 is about 10395.1835000639. The cubic root of 108059840 is about 476.3082531280.

The spelling of 108059840 in words is "one hundred eight million, fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2539 2660 3040 4256 5078 5320 6080 8512 10156 10640 12695 17773 20312 21280 25390 35546 40624 42560 48241 50780 71092 81248 88865 96482 101560 142184 162496 177730 192964 203120 241205 284368 337687 355460 385928 406240 482410 568736 675374 710920 771856 812480 964820 1137472 1350748 1421840 1543712 1688435 1929640 2701496 2843680 3087424 3376870 3859280 5402992 5687360 6753740 7718560 10805984 13507480 15437120 21611968 27014960 54029920 108059840