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20916252 = 2233773379
BaseRepresentation
bin100111111001…
…0100000011100
31110100122201000
41033302200130
520323310002
62024150300
7342533220
oct117624034
943318630
1020916252
1110896765
127008390
1344444a6
142ac6780
151c8261c
hex13f281c

20916252 has 96 divisors (see below), whose sum is σ = 62988800. Its totient is φ = 5878656.

The previous prime is 20916251. The next prime is 20916257. The reversal of 20916252 is 25261902.

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 (20916251) 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, 54999 + ... + 55377.

Almost surely, 220916252 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 20916252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31494400).

20916252 is an abundant number, since it is smaller than the sum of its proper divisors (42072548).

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

20916252 is a wasteful number, since it uses less digits than its factorization.

20916252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20916252 is about 4573.4289105659. The cubic root of 20916252 is about 275.5251760309.

It can be divided in two parts, 209 and 16252, that added together give a palindrome (16461).

The spelling of 20916252 in words is "twenty million, nine hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 379 438 511 657 756 758 876 1022 1137 1314 1516 1533 1971 2044 2274 2628 2653 3066 3411 3942 4548 4599 5306 6132 6822 7884 7959 9198 10233 10612 13644 13797 15918 18396 20466 23877 27594 27667 31836 40932 47754 55188 55334 71631 83001 95508 110668 143262 166002 193669 249003 286524 332004 387338 498006 581007 747009 774676 996012 1162014 1494018 1743021 2324028 2988036 3486042 5229063 6972084 10458126 20916252