Search a number
-
+
1252020564 = 223511311399
BaseRepresentation
bin100101010100000…
…0101000101010100
310020020220020100000
41022220011011110
510031004124224
6324123051300
743011666504
oct11250050524
93206806300
101252020564
11592807643
122ab370b30
1316c509492
14bc3d1a04
1574db40c9
hex4aa05154

1252020564 has 72 divisors (see below), whose sum is σ = 3311380800. Its totient is φ = 413610624.

The previous prime is 1252020557. The next prime is 1252020593. The reversal of 1252020564 is 4650202521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104137 + ... + 115535.

It is an arithmetic number, because the mean of its divisors is an integer number (45991400).

Almost surely, 21252020564 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 1252020564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655690400).

1252020564 is an abundant number, since it is smaller than the sum of its proper divisors (2059360236).

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

1252020564 is a wasteful number, since it uses less digits than its factorization.

1252020564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1252020564 is about 35383.9026112157. The cubic root of 1252020564 is about 1077.7974556446.

The spelling of 1252020564 in words is "one billion, two hundred fifty-two million, twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 2034 3051 4068 6102 9153 11399 12204 18306 22798 27459 34197 36612 45596 54918 68394 102591 109836 136788 205182 307773 410364 615546 923319 1231092 1288087 1846638 2576174 2769957 3693276 3864261 5152348 5539914 7728522 11079828 11592783 15457044 23185566 34778349 46371132 69556698 104335047 139113396 208670094 313005141 417340188 626010282 1252020564