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102973160 = 23519157863
BaseRepresentation
bin1100010001100…
…11111011101000
321011202120121202
412020303323220
5202330120120
614115023332
72360154203
oct610637350
9234676552
10102973160
1153142294
122a59ab48
1318444b84
14d96693a
159090875
hex6233ee8

102973160 has 64 divisors (see below), whose sum is σ = 245721600. Its totient is φ = 38727936.

The previous prime is 102973159. The next prime is 102973177. The reversal of 102973160 is 61379201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118889 + ... + 119751.

It is an arithmetic number, because the mean of its divisors is an integer number (3839400).

Almost surely, 2102973160 is an apocalyptic number.

102973160 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 102973160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122860800).

102973160 is an abundant number, since it is smaller than the sum of its proper divisors (142748440).

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

102973160 is a wasteful number, since it uses less digits than its factorization.

102973160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 102973160 is about 10147.5691670469. The cubic root of 102973160 is about 468.7140947906.

The spelling of 102973160 in words is "one hundred two million, nine hundred seventy-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 314 380 628 760 785 863 1256 1570 1726 2983 3140 3452 4315 5966 6280 6904 8630 11932 14915 16397 17260 23864 29830 32794 34520 59660 65588 81985 119320 131176 135491 163970 270982 327940 541964 655880 677455 1083928 1354910 2574329 2709820 5148658 5419640 10297316 12871645 20594632 25743290 51486580 102973160