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20118912 = 273112433
BaseRepresentation
bin100110010111…
…1110110000000
31101212010221220
41030233312000
520122301122
61555115040
7333002502
oct114576600
941763856
1020118912
11103a1700
1268a2a80
1342255a8
142959d72
151b7625c
hex132fd80

20118912 has 96 divisors (see below), whose sum is σ = 58876440. Its totient is φ = 6082560.

The previous prime is 20118911. The next prime is 20118913. The reversal of 20118912 is 21981102.

It is an interprime number because it is at equal distance from previous prime (20118911) and next prime (20118913).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20118911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46248 + ... + 46680.

Almost surely, 220118912 is an apocalyptic number.

20118912 is a gapful number since it is divisible by the number (22) 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 20118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29438220).

20118912 is an abundant number, since it is smaller than the sum of its proper divisors (38757528).

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

20118912 is a wasteful number, since it uses less digits than its factorization.

20118912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 20118912 is about 4485.4110179559. The cubic root of 20118912 is about 271.9786603789.

The spelling of 20118912 in words is "twenty million, one hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 433 484 528 704 726 866 968 1056 1299 1408 1452 1732 1936 2112 2598 2904 3464 3872 4224 4763 5196 5808 6928 7744 9526 10392 11616 13856 14289 15488 19052 20784 23232 27712 28578 38104 41568 46464 52393 55424 57156 76208 83136 104786 114312 152416 157179 166272 209572 228624 304832 314358 419144 457248 609664 628716 838288 914496 1257432 1676576 1828992 2514864 3353152 5029728 6706304 10059456 20118912