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81976980 = 22351071132
BaseRepresentation
bin1001110001011…
…01111010010100
312201020212021110
410320231322110
5131441230410
612045015020
72013535641
oct470557224
9181225243
1081976980
1142301578
1223554470
1313ca31b7
14ac5cdc8
1572e4720
hex4e2de94

81976980 has 72 divisors (see below), whose sum is σ = 233749152. Its totient is φ = 21464576.

The previous prime is 81976919. The next prime is 81976981. The reversal of 81976980 is 8967918.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81976981) 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, 725404 + ... + 725516.

It is an arithmetic number, because the mean of its divisors is an integer number (3246516).

Almost surely, 281976980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81976980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116874576).

81976980 is an abundant number, since it is smaller than the sum of its proper divisors (151772172).

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

81976980 is a wasteful number, since it uses less digits than its factorization.

81976980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 81976980 is about 9054.1139820526. The cubic root of 81976980 is about 434.4074903151.

The spelling of 81976980 in words is "eighty-one million, nine hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 113 214 226 321 339 428 452 535 565 642 678 1070 1130 1284 1356 1605 1695 2140 2260 3210 3390 6420 6780 12091 12769 24182 25538 36273 38307 48364 51076 60455 63845 72546 76614 120910 127690 145092 153228 181365 191535 241820 255380 362730 383070 725460 766140 1366283 2732566 4098849 5465132 6831415 8197698 13662830 16395396 20494245 27325660 40988490 81976980