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20117184 = 263293613
BaseRepresentation
bin100110010111…
…1011011000000
31101212001120220
41030233123000
520122222214
61555103040
7332664453
oct114573300
941761526
1020117184
11103a037a
1268a1a80
134224879
14295949a
151b759a9
hex132f6c0

20117184 has 56 divisors (see below), whose sum is σ = 55077360. Its totient is φ = 6472704.

The previous prime is 20117179. The next prime is 20117231. The reversal of 20117184 is 48171102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3762 + ... + 7374.

Almost surely, 220117184 is an apocalyptic number.

20117184 is a gapful number since it is divisible by the number (24) 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 20117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538680).

20117184 is an abundant number, since it is smaller than the sum of its proper divisors (34960176).

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

20117184 is a wasteful number, since it uses less digits than its factorization.

20117184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 20117184 is about 4485.2183893318. The cubic root of 20117184 is about 271.9708734671.

Adding to 20117184 its reverse (48171102), we get a palindrome (68288286).

It can be divided in two parts, 20117 and 184, that added together give a triangular number (20301 = T201).

The spelling of 20117184 in words is "twenty million, one hundred seventeen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 3613 5568 7226 10839 14452 21678 28904 43356 57808 86712 104777 115616 173424 209554 231232 314331 346848 419108 628662 693696 838216 1257324 1676432 2514648 3352864 5029296 6705728 10058592 20117184