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20188272 = 2431332353
BaseRepresentation
bin100110100000…
…0110001110000
31101222200002210
41031000301300
520132011042
62000412120
7333411636
oct115006160
941880083
1020188272
1110439825
126917040
13424b030
142977356
151b8ba9c
hex1340c70

20188272 has 40 divisors (see below), whose sum is σ = 56166544. Its totient is φ = 6211584.

The previous prime is 20188261. The next prime is 20188291. The reversal of 20188272 is 27288102.

It is a happy number.

It is a congruent number.

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, 15553 + ... + 16800.

Almost surely, 220188272 is an apocalyptic number.

It is an amenable number.

20188272 is an abundant number, since it is smaller than the sum of its proper divisors (35978272).

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

20188272 is a wasteful number, since it uses less digits than its factorization.

20188272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32377 (or 32371 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 20188272 is about 4493.1360985396. The cubic root of 20188272 is about 272.2908509339.

The spelling of 20188272 in words is "twenty million, one hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 32353 64706 97059 129412 194118 258824 388236 420589 517648 776472 841178 1261767 1552944 1682356 2523534 3364712 5047068 6729424 10094136 20188272