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20642112 = 263235837
BaseRepresentation
bin100111010111…
…1100101000000
31102211201122200
41032233211000
520241021422
62014233200
7340312041
oct116574500
942751580
1020642112
11107197a7
126ab5800
13437978a
142a548c8
151c2b2ac
hex13af940

20642112 has 42 divisors (see below), whose sum is σ = 59168538. Its totient is φ = 6880512.

The previous prime is 20642099. The next prime is 20642129. The reversal of 20642112 is 21124602.

20642112 is a `hidden beast` number, since 20 + 642 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15872256 + 4769856 = 3984^2 + 2184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17343 + ... + 18494.

Almost surely, 220642112 is an apocalyptic number.

It is an amenable number.

20642112 is an abundant number, since it is smaller than the sum of its proper divisors (38526426).

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

20642112 is a wasteful number, since it uses less digits than its factorization.

20642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35855 (or 35842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20642112 is about 4543.3591097337. The cubic root of 20642112 is about 274.3161498965.

Adding to 20642112 its reverse (21124602), we get a palindrome (41766714).

The spelling of 20642112 in words is "twenty million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35837 71674 107511 143348 215022 286696 322533 430044 573392 645066 860088 1146784 1290132 1720176 2293568 2580264 3440352 5160528 6880704 10321056 20642112