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81850320 = 24325791439
BaseRepresentation
bin1001110000011…
…10111111010000
312201000102112100
410320032333100
5131423202240
612042200400
72012500446
oct470167720
9181012470
1081850320
11422253a2
12234b3100
1313c5a656
14ac28b96
1572bbe30
hex4e0efd0

81850320 has 120 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 21535488.

The previous prime is 81850313. The next prime is 81850331. The reversal of 81850320 is 2305818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 56161 + ... + 57599.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 281850320 is an apocalyptic number.

81850320 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 81850320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

81850320 is an abundant number, since it is smaller than the sum of its proper divisors (196703280).

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

81850320 is a wasteful number, since it uses less digits than its factorization.

81850320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 81850320 is about 9047.1166677566. The cubic root of 81850320 is about 434.1836453012.

The spelling of 81850320 in words is "eighty-one million, eight hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1439 1580 1896 2370 2844 2878 3160 3555 3792 4317 4740 5688 5756 6320 7110 7195 8634 9480 11376 11512 12951 14220 14390 17268 18960 21585 23024 25902 28440 28780 34536 43170 51804 56880 57560 64755 69072 86340 103608 113681 115120 129510 172680 207216 227362 259020 341043 345360 454724 518040 568405 682086 909448 1023129 1036080 1136810 1364172 1705215 1818896 2046258 2273620 2728344 3410430 4092516 4547240 5115645 5456688 6820860 8185032 9094480 10231290 13641720 16370064 20462580 27283440 40925160 81850320