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20188872 = 23331129293
BaseRepresentation
bin100110100000…
…0111011001000
31101222200221000
41031000323020
520132020442
62000415000
7333413454
oct115007310
941880830
1020188872
111043a220
126917460
13424b3a2
142977664
151b8bd4c
hex1340ec8

20188872 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 5886720.

The previous prime is 20188853. The next prime is 20188879. The reversal of 20188872 is 27888102.

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 (20188879) 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, 68758 + ... + 69050.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 220188872 is an apocalyptic number.

20188872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20188872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20188872 is an abundant number, since it is smaller than the sum of its proper divisors (43315128).

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

20188872 is a wasteful number, since it uses less digits than its factorization.

20188872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

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

The square root of 20188872 is about 4493.2028665530. The cubic root of 20188872 is about 272.2935484223.

The spelling of 20188872 in words is "twenty million, one hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 293 297 319 348 396 522 586 594 638 696 783 792 879 957 1044 1172 1188 1276 1566 1758 1914 2088 2344 2376 2552 2637 2871 3132 3223 3516 3828 5274 5742 6264 6446 7032 7656 7911 8497 8613 9669 10548 11484 12892 15822 16994 17226 19338 21096 22968 25491 25784 29007 31644 33988 34452 38676 50982 58014 63288 67976 68904 76473 77352 87021 93467 101964 116028 152946 174042 186934 203928 229419 232056 280401 305892 348084 373868 458838 560802 611784 696168 747736 841203 917676 1121604 1682406 1835352 2243208 2523609 3364812 5047218 6729624 10094436 20188872