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169005056 = 21211331
BaseRepresentation
bin10100001001011…
…01000000000000
3102210000100100112
422010231000000
5321231130211
624434210452
74121343053
oct1204550000
9383010315
10169005056
1187443000
1248723a28
13290244bc
1418634a9a
15ec8588b
hexa12d000

169005056 has 104 divisors (see below), whose sum is σ = 383731968. Its totient is φ = 74342400.

The previous prime is 169005047. The next prime is 169005061. The reversal of 169005056 is 650500961.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5451761 + ... + 5451791.

Almost surely, 2169005056 is an apocalyptic number.

169005056 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 169005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191865984).

169005056 is an abundant number, since it is smaller than the sum of its proper divisors (214726912).

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

169005056 is an frugal number, since it uses more digits than its factorization.

169005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 169005056 is about 13000.1944600840. The cubic root of 169005056 is about 552.8829948209.

The spelling of 169005056 in words is "one hundred sixty-nine million, five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 242 248 256 341 352 484 496 512 682 704 968 992 1024 1331 1364 1408 1936 1984 2048 2662 2728 2816 3751 3872 3968 4096 5324 5456 5632 7502 7744 7936 10648 10912 11264 15004 15488 15872 21296 21824 22528 30008 30976 31744 41261 42592 43648 45056 60016 61952 63488 82522 85184 87296 120032 123904 126976 165044 170368 174592 240064 247808 330088 340736 349184 480128 495616 660176 681472 698368 960256 1320352 1362944 1396736 1920512 2640704 2725888 3841024 5281408 5451776 7682048 10562816 15364096 21125632 42251264 84502528 169005056