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20187072 = 2632101347
BaseRepresentation
bin100110100000…
…0011111000000
31101222121110100
41031000133000
520131441242
62000402400
7333405303
oct115003700
941877410
1020187072
1110438934
126916400
13424a619
142976b3a
151b8b54c
hex13407c0

20187072 has 84 divisors (see below), whose sum is σ = 58603896. Its totient is φ = 6643200.

The previous prime is 20187071. The next prime is 20187113. The reversal of 20187072 is 27078102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20187071) 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, 58003 + ... + 58349.

Almost surely, 220187072 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 20187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29301948).

20187072 is an abundant number, since it is smaller than the sum of its proper divisors (38416824).

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

20187072 is a wasteful number, since it uses less digits than its factorization.

20187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 20187072 is about 4493.0025595363. The cubic root of 20187072 is about 272.2854557966.

The spelling of 20187072 in words is "twenty million, one hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 347 404 576 606 694 808 909 1041 1212 1388 1616 1818 2082 2424 2776 3123 3232 3636 4164 4848 5552 6246 6464 7272 8328 9696 11104 12492 14544 16656 19392 22208 24984 29088 33312 35047 49968 58176 66624 70094 99936 105141 140188 199872 210282 280376 315423 420564 560752 630846 841128 1121504 1261692 1682256 2243008 2523384 3364512 5046768 6729024 10093536 20187072