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103087660 = 225131783281
BaseRepresentation
bin1100010010011…
…11111000101100
321011222101200111
412021033320230
5202342301120
614121305404
72361142054
oct611177054
9234871614
10103087660
1153210315
122a635264
1318485020
14d996564
1590b475a
hex624fe2c

103087660 has 96 divisors (see below), whose sum is σ = 250713792. Its totient is φ = 35266560.

The previous prime is 103087651. The next prime is 103087667. The reversal of 103087660 is 66780301.

It is not an unprimeable number, because it can be changed into a prime (103087667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366720 + ... + 367000.

It is an arithmetic number, because the mean of its divisors is an integer number (2611602).

Almost surely, 2103087660 is an apocalyptic number.

103087660 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 103087660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125356896).

103087660 is an abundant number, since it is smaller than the sum of its proper divisors (147626132).

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

103087660 is a wasteful number, since it uses less digits than its factorization.

103087660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 103087660 is about 10153.2093448328. The cubic root of 103087660 is about 468.8877577928.

The spelling of 103087660 in words is "one hundred three million, eighty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 83 85 130 166 170 221 260 281 332 340 415 442 562 830 884 1079 1105 1124 1405 1411 1660 2158 2210 2810 2822 3653 4316 4420 4777 5395 5620 5644 7055 7306 9554 10790 14110 14612 18265 18343 19108 21580 23323 23885 28220 36530 36686 46646 47770 62101 73060 73372 91715 93292 95540 116615 124202 183430 233230 248404 303199 310505 366860 396491 466460 606398 621010 792982 1212796 1242020 1515995 1585964 1982455 3031990 3964910 5154383 6063980 7929820 10308766 20617532 25771915 51543830 103087660