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1136045970 = 232567293643
BaseRepresentation
bin100001110110110…
…1010111110010010
32221011200010002200
41003231222332102
54311311432340
6304421224030
740103142243
oct10355527622
92834603080
101136045970
115332a5174
12278562016
13151491867
14aac42cca
1569b06330
hex43b6af92

1136045970 has 96 divisors (see below), whose sum is σ = 3012714432. Its totient is φ = 296942976.

The previous prime is 1136045959. The next prime is 1136045993. The reversal of 1136045970 is 795406311.

1136045970 is a `hidden beast` number, since 1 + 1 + 3 + 60 + 4 + 597 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766469 + ... + 1767111.

It is an arithmetic number, because the mean of its divisors is an integer number (31382442).

Almost surely, 21136045970 is an apocalyptic number.

1136045970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136045970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506357216).

1136045970 is an abundant number, since it is smaller than the sum of its proper divisors (1876668462).

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

1136045970 is a wasteful number, since it uses less digits than its factorization.

1136045970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1136045970 is about 33705.2810402168. The cubic root of 1136045970 is about 1043.4347636103.

The spelling of 1136045970 in words is "one billion, one hundred thirty-six million, forty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 293 335 402 586 603 643 670 879 1005 1206 1286 1465 1758 1929 2010 2637 2930 3015 3215 3858 4395 5274 5787 6030 6430 8790 9645 11574 13185 19290 19631 26370 28935 39262 43081 57870 58893 86162 98155 117786 129243 176679 188399 196310 215405 258486 294465 353358 376798 387729 430810 565197 588930 646215 775458 883395 941995 1130394 1292430 1695591 1766790 1883990 1938645 2825985 3391182 3877290 5651970 8477955 12622733 16955910 25245466 37868199 63113665 75736398 113604597 126227330 189340995 227209194 378681990 568022985 1136045970