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10192980 = 2235723467
BaseRepresentation
bin100110111000…
…100001010100
3201011212010210
4212320201110
510102133410
61002245420
7152432100
oct46704124
921155123
1010192980
115832156
1234b6870
13215b665
1414d4900
15d65220
hex9b8854

10192980 has 72 divisors (see below), whose sum is σ = 33209568. Its totient is φ = 2329152.

The previous prime is 10192957. The next prime is 10192991. The reversal of 10192980 is 8929101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (461244).

Almost surely, 210192980 is an apocalyptic number.

10192980 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 10192980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604784).

10192980 is an abundant number, since it is smaller than the sum of its proper divisors (23016588).

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

10192980 is a wasteful number, since it uses less digits than its factorization.

10192980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 10192980 is about 3192.6446717416. The cubic root of 10192980 is about 216.8205245112.

The spelling of 10192980 in words is "ten million, one hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3467 6934 10401 13868 17335 20802 24269 34670 41604 48538 52005 69340 72807 97076 104010 121345 145614 169883 208020 242690 291228 339766 364035 485380 509649 679532 728070 849415 1019298 1456140 1698830 2038596 2548245 3397660 5096490 10192980