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81337520 = 24511175437
BaseRepresentation
bin1001101100100…
…01110010110000
312200001101002202
410312101302300
5131310300040
612023202332
72005233425
oct466216260
9180041082
1081337520
1141a050a0
12232a63a8
1313b0b114
14ab33d4c
15721a015
hex4d91cb0

81337520 has 80 divisors (see below), whose sum is σ = 218477088. Its totient is φ = 27832320.

The previous prime is 81337519. The next prime is 81337523. The reversal of 81337520 is 2573318.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (81337523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12242 + ... + 17678.

Almost surely, 281337520 is an apocalyptic number.

81337520 is a gapful number since it is divisible by the number (80) 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 81337520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238544).

81337520 is an abundant number, since it is smaller than the sum of its proper divisors (137139568).

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

81337520 is a wasteful number, since it uses less digits than its factorization.

81337520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 81337520 is about 9018.7316181379. The cubic root of 81337520 is about 433.2750112172.

The spelling of 81337520 in words is "eighty-one million, three hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 5437 7480 10874 14960 21748 27185 43496 54370 59807 86992 92429 108740 119614 184858 217480 239228 299035 369716 434960 462145 478456 598070 739432 924290 956912 1016719 1196140 1478864 1848580 2033438 2392280 3697160 4066876 4784560 5083595 7394320 8133752 10167190 16267504 20334380 40668760 81337520