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20987172 = 22321961503
BaseRepresentation
bin101000000001…
…1110100100100
31110111020222200
41100003310210
520333042142
62025454500
7343250043
oct120036444
943436880
1020987172
1110934a78
127041430
13446a85b
142b0455a
151c9864c
hex1403d24

20987172 has 72 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 6505920.

The previous prime is 20987171. The next prime is 20987189. The reversal of 20987172 is 27178902.

It is a super-2 number, since 2×209871722 = 880922777115168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20987171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41473 + ... + 41975.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 220987172 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 20987172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

20987172 is an abundant number, since it is smaller than the sum of its proper divisors (35884188).

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

20987172 is a wasteful number, since it uses less digits than its factorization.

20987172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 20987172 is about 4581.1758315961. The cubic root of 20987172 is about 275.8362292442.

The spelling of 20987172 in words is "twenty million, nine hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 503 549 684 732 1006 1098 1159 1509 2012 2196 2318 3018 3477 4527 4636 6036 6954 9054 9557 10431 13908 18108 19114 20862 28671 30683 38228 41724 57342 61366 86013 92049 114684 122732 172026 184098 276147 344052 368196 552294 582977 1104588 1165954 1748931 2331908 3497862 5246793 6995724 10493586 20987172