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20888172 = 22331731367
BaseRepresentation
bin100111110101…
…1101001101100
31110022020012000
41033223221230
520321410142
62023412300
7342355314
oct117535154
943266160
1020888172
1110877658
126bb4090
134434786
142aba444
151c7914c
hex13eba6c

20888172 has 96 divisors (see below), whose sum is σ = 59351040. Its totient is φ = 6324480.

The previous prime is 20888171. The next prime is 20888173. The reversal of 20888172 is 27188802.

It is an interprime number because it is at equal distance from previous prime (20888171) and next prime (20888173).

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 (20888171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56733 + ... + 57099.

It is an arithmetic number, because the mean of its divisors is an integer number (618240).

Almost surely, 220888172 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 20888172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29675520).

20888172 is an abundant number, since it is smaller than the sum of its proper divisors (38462868).

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

20888172 is a wasteful number, since it uses less digits than its factorization.

20888172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 20888172 is about 4570.3579728507. The cubic root of 20888172 is about 275.4018235980.

The spelling of 20888172 in words is "twenty million, eight hundred eighty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 367 372 459 527 558 612 734 837 918 1054 1101 1116 1468 1581 1674 1836 2108 2202 3162 3303 3348 4404 4743 6239 6324 6606 9486 9909 11377 12478 13212 14229 18717 18972 19818 22754 24956 28458 34131 37434 39636 45508 56151 56916 68262 74868 102393 112302 136524 168453 193409 204786 224604 307179 336906 386818 409572 580227 614358 673812 773636 1160454 1228716 1740681 2320908 3481362 5222043 6962724 10444086 20888172