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163540944 = 243672003
BaseRepresentation
bin10011011111101…
…10111111010000
3102101201202000000
421233312333100
5313331302234
624121130000
74024034520
oct1157667720
9371652000
10163540944
1184350806
1246929900
1327b603b8
1417a11680
15e556899
hex9bf6fd0

163540944 has 140 divisors (see below), whose sum is σ = 543212256. Its totient is φ = 46702656.

The previous prime is 163540943. The next prime is 163540957. The reversal of 163540944 is 449045361.

It is a super-2 number, since 2×1635409442 = 53491280728822272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 163540899 and 163540908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163540943) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80647 + ... + 82649.

Almost surely, 2163540944 is an apocalyptic number.

163540944 is a gapful number since it is divisible by the number (14) 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 163540944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271606128).

163540944 is an abundant number, since it is smaller than the sum of its proper divisors (379671312).

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

163540944 is an equidigital number, since it uses as much as digits as its factorization.

163540944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 163540944 is about 12788.3127894183. The cubic root of 163540944 is about 546.8591714123.

The spelling of 163540944 in words is "one hundred sixty-three million, five hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2003 2268 2916 3024 3402 3888 4006 4536 5103 5832 6009 6804 8012 9072 10206 11664 12018 13608 14021 16024 18027 20412 24036 27216 28042 32048 36054 40824 42063 48072 54081 56084 72108 81648 84126 96144 108162 112168 126189 144216 162243 168252 216324 224336 252378 288432 324486 336504 378567 432648 486729 504756 648972 673008 757134 865296 973458 1009512 1135701 1297944 1460187 1514268 1946916 2019024 2271402 2595888 2920374 3028536 3407103 3893832 4542804 5840748 6057072 6814206 7787664 9085608 10221309 11681496 13628412 18171216 20442618 23362992 27256824 40885236 54513648 81770472 163540944