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81265356 = 22341943307
BaseRepresentation
bin1001101100000…
…00001011001100
312122220201010000
410312000023030
5131300442411
612021444300
72004513144
oct466001314
9178821100
1081265356
1141965957
1223270690
1313ab4313
14ab15924
157203956
hex4d802cc

81265356 has 120 divisors (see below), whose sum is σ = 229570880. Its totient is φ = 24984288.

The previous prime is 81265351. The next prime is 81265363. The reversal of 81265356 is 65356218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81265356.

It is not an unprimeable number, because it can be changed into a prime (81265351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264555 + ... + 264861.

Almost surely, 281265356 is an apocalyptic number.

81265356 is a gapful number since it is divisible by the number (86) 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 81265356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114785440).

81265356 is an abundant number, since it is smaller than the sum of its proper divisors (148305524).

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

81265356 is a wasteful number, since it uses less digits than its factorization.

81265356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 81265356 is about 9014.7299460383. The cubic root of 81265356 is about 433.1468370392.

The spelling of 81265356 in words is "eighty-one million, two hundred sixty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 81 86 108 114 129 162 171 172 228 258 307 324 342 387 513 516 614 684 774 817 921 1026 1161 1228 1539 1548 1634 1842 2052 2322 2451 2763 3078 3268 3483 3684 4644 4902 5526 5833 6156 6966 7353 8289 9804 11052 11666 13201 13932 14706 16578 17499 22059 23332 24867 26402 29412 33156 34998 39603 44118 49734 52497 52804 66177 69996 79206 88236 99468 104994 118809 132354 157491 158412 209988 237618 250819 264708 314982 356427 472473 475236 501638 629964 712854 752457 944946 1003276 1069281 1425708 1504914 1889892 2138562 2257371 3009828 4277124 4514742 6772113 9029484 13544226 20316339 27088452 40632678 81265356