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20025264 = 2437107557
BaseRepresentation
bin100110001100…
…0111110110000
31101200101111110
41030120332300
520111302024
61553113320
7332132460
oct114307660
941611443
1020025264
1110338306
126858840
1341c1a8c
142933ba0
151b58629
hex1318fb0

20025264 has 80 divisors (see below), whose sum is σ = 59781888. Its totient is φ = 5657856.

The previous prime is 20025253. The next prime is 20025277. The reversal of 20025264 is 46252002.

It is a super-2 number, since 2×200252642 = 802022396539392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20025264.

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, 35674 + ... + 36230.

Almost surely, 220025264 is an apocalyptic number.

20025264 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 20025264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29890944).

20025264 is an abundant number, since it is smaller than the sum of its proper divisors (39756624).

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

20025264 is a wasteful number, since it uses less digits than its factorization.

20025264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20025264 is about 4474.9596646227. The cubic root of 20025264 is about 271.5560086452.

Adding to 20025264 its reverse (46252002), we get a palindrome (66277266).

The spelling of 20025264 in words is "twenty million, twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 557 642 749 856 1114 1284 1498 1671 1712 2228 2247 2568 2996 3342 3899 4456 4494 5136 5992 6684 7798 8912 8988 11697 11984 13368 15596 17976 23394 26736 31192 35952 46788 59599 62384 93576 119198 178797 187152 238396 357594 417193 476792 715188 834386 953584 1251579 1430376 1668772 2503158 2860752 3337544 5006316 6675088 10012632 20025264