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20375928 = 23331731179
BaseRepresentation
bin100110110111…
…0100101111000
31102100012112000
41031232211320
520204012203
62004421000
7335123016
oct115564570
942305460
1020375928
1110557811
1269a7760
1342b5581
1429c58b6
151bc74a3
hex136e978

20375928 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 6151680.

The previous prime is 20375921. The next prime is 20375933. The reversal of 20375928 is 82957302.

It is a happy number.

It is a super-2 number, since 2×203759282 = 830356883722368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20375892 and 20375901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20375921) 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, 113743 + ... + 113921.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 220375928 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 20375928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

20375928 is an abundant number, since it is smaller than the sum of its proper divisors (41832072).

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

20375928 is a wasteful number, since it uses less digits than its factorization.

20375928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20375928 is about 4513.9703144793. The cubic root of 20375928 is about 273.1319251282.

The spelling of 20375928 in words is "twenty million, three hundred seventy-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 93 102 108 124 136 153 179 186 204 216 248 279 306 358 372 408 459 527 537 558 612 716 744 837 918 1054 1074 1116 1224 1432 1581 1611 1674 1836 2108 2148 2232 3043 3162 3222 3348 3672 4216 4296 4743 4833 5549 6086 6324 6444 6696 9129 9486 9666 11098 12172 12648 12888 14229 16647 18258 18972 19332 22196 24344 27387 28458 33294 36516 37944 38664 44392 49941 54774 56916 66588 73032 82161 94333 99882 109548 113832 133176 149823 164322 188666 199764 219096 282999 299646 328644 377332 399528 565998 599292 657288 754664 848997 1131996 1198584 1697994 2263992 2546991 3395988 5093982 6791976 10187964 20375928