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20242872 = 23371389
BaseRepresentation
bin100110100111…
…0000110111000
31102002110000000
41031032012320
520140232442
62001513000
7334030056
oct115160670
942073000
1020242872
1110476851
126942760
134269b40
14298d1d6
151b9cd4c
hex134e1b8

20242872 has 128 divisors (see below), whose sum is σ = 61992000. Its totient is φ = 6158592.

The previous prime is 20242861. The next prime is 20242879. The reversal of 20242872 is 27824202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242879) 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, 227404 + ... + 227492.

Almost surely, 220242872 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 20242872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996000).

20242872 is an abundant number, since it is smaller than the sum of its proper divisors (41749128).

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

20242872 is an equidigital number, since it uses as much as digits as its factorization.

20242872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20242872 is about 4499.2079302917. The cubic root of 20242872 is about 272.5361038492.

It can be divided in two parts, 202428 and 72, that added together give a square (202500 = 4502).

The spelling of 20242872 in words is "twenty million, two hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 89 104 108 117 156 162 178 216 234 243 267 312 324 351 356 468 486 534 648 702 712 729 801 936 972 1053 1068 1157 1404 1458 1602 1944 2106 2136 2187 2314 2403 2808 2916 3159 3204 3471 4212 4374 4628 4806 5832 6318 6408 6942 7209 8424 8748 9256 9477 9612 10413 12636 13884 14418 17496 18954 19224 20826 21627 25272 27768 28431 28836 31239 37908 41652 43254 56862 57672 62478 64881 75816 83304 86508 93717 113724 124956 129762 173016 187434 194643 227448 249912 259524 281151 374868 389286 519048 562302 749736 778572 843453 1124604 1557144 1686906 2249208 2530359 3373812 5060718 6747624 10121436 20242872