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20157172 = 2271724753
BaseRepresentation
bin100110011100…
…1001011110100
31101221002102221
41030321023310
520130012142
62000012124
7333222160
oct114711364
941832387
1020157172
1110418422
126901044
134239b29
142969ca0
151b82767
hex13392f4

20157172 has 72 divisors (see below), whose sum is σ = 44561664. Its totient is φ = 7807488.

The previous prime is 20157169. The next prime is 20157187. The reversal of 20157172 is 27175102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380298 + ... + 380350.

It is an arithmetic number, because the mean of its divisors is an integer number (618912).

Almost surely, 220157172 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 20157172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280832).

20157172 is an abundant number, since it is smaller than the sum of its proper divisors (24404492).

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

20157172 is a wasteful number, since it uses less digits than its factorization.

20157172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 20157172 is about 4489.6739302537. The cubic root of 20157172 is about 272.1509578707.

The spelling of 20157172 in words is "twenty million, one hundred fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 47 53 68 94 106 119 188 212 238 289 329 371 476 578 658 742 799 901 1156 1316 1484 1598 1802 2023 2491 3196 3604 4046 4982 5593 6307 8092 9964 11186 12614 13583 15317 17437 22372 25228 27166 30634 34874 42347 54332 61268 69748 84694 95081 107219 169388 190162 214438 296429 380324 428876 592858 719899 1185716 1439798 2879596 5039293 10078586 20157172