Search a number
-
+
18572064 = 253729953
BaseRepresentation
bin100011011011…
…0001100100000
31021221120002020
41012312030200
514223301224
61502021440
7313600650
oct106661440
937846066
1018572064
11a535515
126277880
133b034b4
142676360
15196cc79
hex11b6320

18572064 has 96 divisors (see below), whose sum is σ = 57697920. Its totient is φ = 5117952.

The previous prime is 18572011. The next prime is 18572077. The reversal of 18572064 is 46027581.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×185720642 = 689843122440192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19012 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 218572064 is an apocalyptic number.

18572064 is a gapful number since it is divisible by the number (14) 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 18572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28848960).

18572064 is an abundant number, since it is smaller than the sum of its proper divisors (39125856).

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

18572064 is a wasteful number, since it uses less digits than its factorization.

18572064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 18572064 is about 4309.5317611082. The cubic root of 18572064 is about 264.8215910812.

The spelling of 18572064 in words is "eighteen million, five hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 953 1218 1392 1624 1906 2436 2784 2859 3248 3812 4872 5718 6496 6671 7624 9744 11436 13342 15248 19488 20013 22872 26684 27637 30496 40026 45744 53368 55274 80052 82911 91488 106736 110548 160104 165822 193459 213472 221096 320208 331644 386918 442192 580377 640416 663288 773836 884384 1160754 1326576 1547672 2321508 2653152 3095344 4643016 6190688 9286032 18572064