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1940582969 = 13536614261
BaseRepresentation
bin111001110101010…
…1111001000111001
312000020112211101022
41303222233020321
512433242123334
6520321232225
766042453203
oct16352571071
95006484338
101940582969
11906454786
12461a92675
1324c072860
14145a2d773
15b557782e
hex73aaf239

1940582969 has 16 divisors (see below), whose sum is σ = 2133011664. Its totient is φ = 1754438400.

The previous prime is 1940582921. The next prime is 1940582977. The reversal of 1940582969 is 9692850491.

It can be written as a sum of positive squares in 8 ways, for example, as 262861369 + 1677721600 = 16213^2 + 40960^2 .

It is a de Polignac number, because none of the positive numbers 2k-1940582969 is a prime.

It is a super-2 number, since 2×19405829692 = 7531724519145709922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1940582969.

It is not an unprimeable number, because it can be changed into a prime (1940582989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453299 + ... + 457559.

It is an arithmetic number, because the mean of its divisors is an integer number (133313229).

Almost surely, 21940582969 is an apocalyptic number.

It is an amenable number.

1940582969 is a deficient number, since it is larger than the sum of its proper divisors (192428695).

1940582969 is a wasteful number, since it uses less digits than its factorization.

1940582969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988.

The product of its (nonzero) digits is 1399680, while the sum is 53.

The square root of 1940582969 is about 44052.0484086722. The cubic root of 1940582969 is about 1247.3186189895.

The spelling of 1940582969 in words is "one billion, nine hundred forty million, five hundred eighty-two thousand, nine hundred sixty-nine".

Divisors: 1 13 53 661 689 4261 8593 35033 55393 225833 455429 2816521 2935829 36614773 149275613 1940582969