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20075104 = 25733159
BaseRepresentation
bin100110010010…
…1001001100000
31101202220212101
41030211021200
520114400404
61554140144
7332431000
oct114451140
941686771
1020075104
11103717a5
126881654
13420b67a
142948000
151b682a4
hex1325260

20075104 has 96 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 8184960.

The previous prime is 20075089. The next prime is 20075141. The reversal of 20075104 is 40157002.

It is a super-2 number, since 2×200751042 = 806019601221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340227 + ... + 340285.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 220075104 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 20075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

20075104 is an abundant number, since it is smaller than the sum of its proper divisors (28308896).

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

20075104 is an equidigital number, since it uses as much as digits as its factorization.

20075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20075104 is about 4480.5249692419. The cubic root of 20075104 is about 271.7811099409.

The spelling of 20075104 in words is "twenty million, seventy-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 59 62 98 112 118 124 196 217 224 236 248 343 392 413 434 472 496 686 784 826 868 944 992 1372 1519 1568 1652 1736 1829 1888 2744 2891 3038 3304 3472 3658 5488 5782 6076 6608 6944 7316 10633 10976 11564 12152 12803 13216 14632 20237 21266 23128 24304 25606 29264 40474 42532 46256 48608 51212 58528 80948 85064 89621 92512 102424 161896 170128 179242 204848 323792 340256 358484 409696 627347 647584 716968 1254694 1433936 2509388 2867872 5018776 10037552 20075104