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108715680 = 25325174441
BaseRepresentation
bin1100111101011…
…01111010100000
321120120022212200
412132231322200
5210312400210
614442053200
72460032223
oct636557240
9246508780
10108715680
1156404777
12304aa200
13196a5908
141061d5ba
1598270c0
hex67adea0

108715680 has 144 divisors (see below), whose sum is σ = 392903784. Its totient is φ = 27279360.

The previous prime is 108715679. The next prime is 108715681. The reversal of 108715680 is 86517801.

108715680 is a `hidden beast` number, since 10 + 87 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108715679) and next prime (108715681).

It can be written as a sum of positive squares in 4 ways, for example, as 94245264 + 14470416 = 9708^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108715681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22260 + ... + 26700.

Almost surely, 2108715680 is an apocalyptic number.

108715680 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 108715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196451892).

108715680 is an abundant number, since it is smaller than the sum of its proper divisors (284188104).

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

108715680 is a wasteful number, since it uses less digits than its factorization.

108715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 108715680 is about 10426.6811594102. The cubic root of 108715680 is about 477.2699183013.

The spelling of 108715680 in words is "one hundred eight million, seven hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4441 4896 6120 8160 8882 12240 13323 17764 22205 24480 26646 35528 39969 44410 53292 66615 71056 75497 79938 88820 106584 133230 142112 150994 159876 177640 199845 213168 226491 266460 301988 319752 355280 377485 399690 426336 452982 532920 603976 639504 679473 710560 754970 799380 905964 1065840 1132455 1207952 1279008 1358946 1509940 1598760 1811928 2131680 2264910 2415904 2717892 3019880 3197520 3397365 3623856 4529820 5435784 6039760 6395040 6794730 7247712 9059640 10871568 12079520 13589460 18119280 21743136 27178920 36238560 54357840 108715680