Search a number
-
+
20019264 = 263127821
BaseRepresentation
bin100110001011…
…1100001000000
31101200002021020
41030113201000
520111104024
61553025440
7332106126
oct114274100
941602236
1020019264
1110333851
126855280
1341bc125
142931916
151b56979
hex1317840

20019264 has 56 divisors (see below), whose sum is σ = 53449728. Its totient is φ = 6612480.

The previous prime is 20019247. The next prime is 20019271. The reversal of 20019264 is 46291002.

It is a super-2 number, since 2×200192642 = 801541862203392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23974 + ... + 24794.

Almost surely, 220019264 is an apocalyptic number.

20019264 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 20019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26724864).

20019264 is an abundant number, since it is smaller than the sum of its proper divisors (33430464).

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

20019264 is a wasteful number, since it uses less digits than its factorization.

20019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20019264 is about 4474.2892172947. The cubic root of 20019264 is about 271.5288845948.

The spelling of 20019264 in words is "twenty million, nineteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 821 1016 1524 1642 2032 2463 3048 3284 4064 4926 6096 6568 8128 9852 12192 13136 19704 24384 26272 39408 52544 78816 104267 157632 208534 312801 417068 625602 834136 1251204 1668272 2502408 3336544 5004816 6673088 10009632 20019264