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1013965290 = 23451396293
BaseRepresentation
bin111100011011111…
…110000111101010
32121122221202220000
4330123332013222
54034033342130
6244340443430
734061364012
oct7433760752
92548852800
101013965290
114803a2148
122436a9576
131320b9880
1498944c42
155e03e260
hex3c6fe1ea

1013965290 has 80 divisors (see below), whose sum is σ = 2936196648. Its totient is φ = 249588864.

The previous prime is 1013965273. The next prime is 1013965321. The reversal of 1013965290 is 925693101.

It can be written as a sum of positive squares in 4 ways, for example, as 636401529 + 377563761 = 25227^2 + 19431^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37617 + ... + 58676.

Almost surely, 21013965290 is an apocalyptic number.

1013965290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013965290 is an abundant number, since it is smaller than the sum of its proper divisors (1922231358).

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

1013965290 is a wasteful number, since it uses less digits than its factorization.

1013965290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96325 (or 96316 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1013965290 is about 31842.8216400494. The cubic root of 1013965290 is about 1004.6335933183.

The spelling of 1013965290 in words is "one billion, thirteen million, nine hundred sixty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 96293 192586 288879 481465 577758 866637 962930 1251809 1444395 1733274 2503618 2599911 2888790 3755427 4333185 5199822 6259045 7510854 7799733 8666370 11266281 12518090 12999555 15599466 18777135 22532562 25999110 33798843 37554270 38998665 56331405 67597686 77997330 101396529 112662810 168994215 202793058 337988430 506982645 1013965290