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81536640 = 273542467
BaseRepresentation
bin1001101110000…
…10011010000000
312200102111020120
410313002122000
5131333133030
612031340240
72010023103
oct467023200
9180374216
1081536640
1142030759
1223381680
1313b7a943
14ab8673a
157259010
hex4dc2680

81536640 has 64 divisors (see below), whose sum is σ = 259904160. Its totient is φ = 21742592.

The previous prime is 81536639. The next prime is 81536669. The reversal of 81536640 is 4663518.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19314 + ... + 23153.

Almost surely, 281536640 is an apocalyptic number.

81536640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81536640 is an abundant number, since it is smaller than the sum of its proper divisors (178367520).

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

81536640 is a wasteful number, since it uses less digits than its factorization.

81536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489 (or 42477 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 81536640 is about 9029.7641165204. The cubic root of 81536640 is about 433.6282857144.

The spelling of 81536640 in words is "eighty-one million, five hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 42467 84934 127401 169868 212335 254802 339736 424670 509604 637005 679472 849340 1019208 1274010 1358944 1698680 2038416 2548020 2717888 3397360 4076832 5096040 5435776 6794720 8153664 10192080 13589440 16307328 20384160 27178880 40768320 81536640