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108416680 = 23573107347
BaseRepresentation
bin1100111011001…
…00111010101000
321120000010201121
412131210322220
5210223313210
614431425024
72454345421
oct635447250
9246003647
10108416680
1156220069
1230385174
13195cc7a8
1410582648
1597b86da
hex6764ea8

108416680 has 64 divisors (see below), whose sum is σ = 250309440. Its totient is φ = 42250752.

The previous prime is 108416629. The next prime is 108416683. The reversal of 108416680 is 86614801.

It is not an unprimeable number, because it can be changed into a prime (108416683) 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, 312267 + ... + 312613.

It is an arithmetic number, because the mean of its divisors is an integer number (3911085).

Almost surely, 2108416680 is an apocalyptic number.

108416680 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 108416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125154720).

108416680 is an abundant number, since it is smaller than the sum of its proper divisors (141892760).

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

108416680 is a wasteful number, since it uses less digits than its factorization.

108416680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 108416680 is about 10412.3330718912. Note that the first 3 decimals coincide. The cubic root of 108416680 is about 476.8319724855.

The spelling of 108416680 in words is "one hundred eight million, four hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 107 146 214 292 347 365 428 535 584 694 730 856 1070 1388 1460 1735 2140 2776 2920 3470 4280 6940 7811 13880 15622 25331 31244 37129 39055 50662 62488 74258 78110 101324 126655 148516 156220 185645 202648 253310 297032 312440 371290 506620 742580 1013240 1485160 2710417 5420834 10841668 13552085 21683336 27104170 54208340 108416680