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108340960 = 25572131063
BaseRepresentation
bin1100111010100…
…10011011100000
321112212021212011
412131102123200
5210213402320
614430042304
72453611600
oct635223340
9245767764
10108340960
1156179192
1230349394
13195a41a0
1410562c00
1597a105a
hex67526e0

108340960 has 144 divisors (see below), whose sum is σ = 320949216. Its totient is φ = 34255872.

The previous prime is 108340931. The next prime is 108340961. The reversal of 108340960 is 69043801.

It is a super-2 number, since 2×1083409602 = 23475527227443200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108340961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 101389 + ... + 102451.

It is an arithmetic number, because the mean of its divisors is an integer number (2228814).

Almost surely, 2108340960 is an apocalyptic number.

108340960 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 108340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474608).

108340960 is an abundant number, since it is smaller than the sum of its proper divisors (212608256).

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

108340960 is a wasteful number, since it uses less digits than its factorization.

108340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 108340960 is about 10408.6963640986. The cubic root of 108340960 is about 476.7209375235.

The spelling of 108340960 in words is "one hundred eight million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1063 1120 1274 1456 1568 1820 1960 2080 2126 2548 2912 3185 3640 3920 4252 5096 5315 6370 7280 7441 7840 8504 10192 10630 12740 13819 14560 14882 17008 20384 21260 25480 27638 29764 34016 37205 42520 50960 52087 55276 59528 69095 74410 85040 96733 101920 104174 110552 119056 138190 148820 170080 193466 208348 221104 238112 260435 276380 297640 386932 416696 442208 483665 520870 552760 595280 677131 773864 833392 967330 1041740 1105520 1190560 1354262 1547728 1666784 1934660 2083480 2211040 2708524 3095456 3385655 3869320 4166960 5417048 6771310 7738640 8333920 10834096 13542620 15477280 21668192 27085240 54170480 108340960