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163455136 = 25131729797
BaseRepresentation
bin10011011111000…
…10000010100000
3102101120101021221
421233202002200
5313321031021
624115224424
74023226405
oct1157420240
9371511257
10163455136
11842a2299
12468a8114
1327b30320
14179cc2ac
15e53b241
hex9be20a0

163455136 has 96 divisors (see below), whose sum is σ = 380071440. Its totient is φ = 68468736.

The previous prime is 163455121. The next prime is 163455139. The reversal of 163455136 is 631554361.

It can be written as a sum of positive squares in 8 ways, for example, as 74718736 + 88736400 = 8644^2 + 9420^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (163455139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204690 + ... + 205486.

Almost surely, 2163455136 is an apocalyptic number.

163455136 is a gapful number since it is divisible by the number (16) 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 163455136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190035720).

163455136 is an abundant number, since it is smaller than the sum of its proper divisors (216616304).

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

163455136 is a wasteful number, since it uses less digits than its factorization.

163455136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 163455136 is about 12784.9574109576. The cubic root of 163455136 is about 546.7635111656.

The spelling of 163455136 in words is "one hundred sixty-three million, four hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 68 104 116 136 208 221 232 272 377 416 442 464 493 544 754 797 884 928 986 1508 1594 1768 1972 3016 3188 3536 3944 6032 6376 6409 7072 7888 10361 12064 12752 12818 13549 15776 20722 23113 25504 25636 27098 41444 46226 51272 54196 82888 92452 102544 108392 165776 176137 184904 205088 216784 300469 331552 352274 369808 392921 433568 600938 704548 739616 785842 1201876 1409096 1571684 2403752 2818192 3143368 4807504 5107973 5636384 6286736 9615008 10215946 12573472 20431892 40863784 81727568 163455136