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168505104 = 24337791201
BaseRepresentation
bin10100000101100…
…10111100010000
3102202001221112210
422002302330100
5321114130404
624415352120
74114161345
oct1202627420
9382057483
10168505104
1187131419
1248522640
1328baaa81
14185447cc
15ebd7689
hexa0b2f10

168505104 has 80 divisors (see below), whose sum is σ = 453105920. Its totient is φ = 53913600.

The previous prime is 168505093. The next prime is 168505111. The reversal of 168505104 is 401505861.

It is an unprimeable number.

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, 139704 + ... + 140904.

It is an arithmetic number, because the mean of its divisors is an integer number (5663824).

Almost surely, 2168505104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226552960).

168505104 is an abundant number, since it is smaller than the sum of its proper divisors (284600816).

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

168505104 is a wasteful number, since it uses less digits than its factorization.

168505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 168505104 is about 12980.9515829927. The cubic root of 168505104 is about 552.3372755021.

The spelling of 168505104 in words is "one hundred sixty-eight million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 79 111 148 158 222 237 296 316 444 474 592 632 888 948 1201 1264 1776 1896 2402 2923 3603 3792 4804 5846 7206 8769 9608 11692 14412 17538 19216 23384 28824 35076 44437 46768 57648 70152 88874 94879 133311 140304 177748 189758 266622 284637 355496 379516 533244 569274 710992 759032 1066488 1138548 1518064 2132976 2277096 3510523 4554192 7021046 10531569 14042092 21063138 28084184 42126276 56168368 84252552 168505104