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81357360 = 2435779613
BaseRepresentation
bin1001101100101…
…10101000110000
312200002101022120
410312112220300
5131311413420
612023434240
72005345320
oct466265060
9180071276
1081357360
1141a18a97
12232b5980
1313b17166
14ab3b280
157220d40
hex4d96a30

81357360 has 160 divisors (see below), whose sum is σ = 292362240. Its totient is φ = 18330624.

The previous prime is 81357319. The next prime is 81357379. The reversal of 81357360 is 6375318.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132414 + ... + 133026.

It is an arithmetic number, because the mean of its divisors is an integer number (1827264).

Almost surely, 281357360 is an apocalyptic number.

81357360 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 81357360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146181120).

81357360 is an abundant number, since it is smaller than the sum of its proper divisors (211004880).

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

81357360 is a wasteful number, since it uses less digits than its factorization.

81357360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 81357360 is about 9019.8314840134. The cubic root of 81357360 is about 433.3102367703.

The spelling of 81357360 in words is "eighty-one million, three hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 613 632 790 840 948 1106 1185 1226 1264 1580 1659 1680 1839 1896 2212 2370 2452 2765 3065 3160 3318 3678 3792 4291 4424 4740 4904 5530 6130 6320 6636 7356 8295 8582 8848 9195 9480 9808 11060 12260 12873 13272 14712 16590 17164 18390 18960 21455 22120 24520 25746 26544 29424 33180 34328 36780 42910 44240 48427 49040 51492 64365 66360 68656 73560 85820 96854 102984 128730 132720 145281 147120 171640 193708 205968 242135 257460 290562 338989 343280 387416 484270 514920 581124 677978 726405 774832 968540 1016967 1029840 1162248 1355956 1452810 1694945 1937080 2033934 2324496 2711912 2905620 3389890 3874160 4067868 5084835 5423824 5811240 6779780 8135736 10169670 11622480 13559560 16271472 20339340 27119120 40678680 81357360