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162055104 = 26319311433
BaseRepresentation
bin10011010100011…
…00001111000000
3102021221020210220
421222030033000
5312441230404
624025223040
74005305601
oct1152141700
9367836726
10162055104
1183526442
1246331a80
132775ccc3
1417745da8
15e3614d9
hex9a8c3c0

162055104 has 112 divisors (see below), whose sum is σ = 466222080. Its totient is φ = 49489920.

The previous prime is 162055099. The next prime is 162055129. The reversal of 162055104 is 401550261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 112372 + ... + 113804.

Almost surely, 2162055104 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 162055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233111040).

162055104 is an abundant number, since it is smaller than the sum of its proper divisors (304166976).

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

162055104 is a wasteful number, since it uses less digits than its factorization.

162055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 162055104 is about 12730.0865668698. The cubic root of 162055104 is about 545.1979798634.

The spelling of 162055104 in words is "one hundred sixty-two million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1433 1488 1767 1824 1984 2356 2866 2976 3534 3648 4299 4712 5732 5952 7068 8598 9424 11464 14136 17196 18848 22928 27227 28272 34392 37696 44423 45856 54454 56544 68784 81681 88846 91712 108908 113088 133269 137568 163362 177692 217816 266538 275136 326724 355384 435632 533076 653448 710768 844037 871264 1066152 1306896 1421536 1688074 1742528 2132304 2532111 2613792 2843072 3376148 4264608 5064222 5227584 6752296 8529216 10128444 13504592 20256888 27009184 40513776 54018368 81027552 162055104