[go: up one dir, main page]

Search a number
-
+
20037864 = 23372111549
BaseRepresentation
bin100110001110…
…0000011101000
31101201000210010
41030130003220
520112202424
61553251520
7332214300
oct114340350
941630703
1020037864
1110346820
126863ba0
1341c7732
142938600
151b5c229
hex131c0e8

20037864 has 96 divisors (see below), whose sum is σ = 63612000. Its totient is φ = 5201280.

The previous prime is 20037859. The next prime is 20037881. The reversal of 20037864 is 46873002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12162 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (662625).

Almost surely, 220037864 is an apocalyptic number.

20037864 is a gapful number since it is divisible by the number (24) 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 20037864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806000).

20037864 is an abundant number, since it is smaller than the sum of its proper divisors (43574136).

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

20037864 is a wasteful number, since it uses less digits than its factorization.

20037864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20037864 is about 4476.3672771568. The cubic root of 20037864 is about 271.6129515204.

The spelling of 20037864 in words is "twenty million, thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1549 1617 1848 2156 3098 3234 4312 4647 6196 6468 9294 10843 12392 12936 17039 18588 21686 32529 34078 37176 43372 51117 65058 68156 75901 86744 102234 119273 130116 136312 151802 204468 227703 238546 260232 303604 357819 408936 455406 477092 607208 715638 834911 910812 954184 1431276 1669822 1821624 2504733 2862552 3339644 5009466 6679288 10018932 20037864