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1790400131 = 131163311839
BaseRepresentation
bin110101010110111…
…0101011010000011
311121202221202020222
41222231311122003
512131320301011
6453354253255
762240102312
oct15255653203
94552852228
101790400131
118396a8133
1241b72722b
13226c0b680
1412dad8279
15a72adddb
hex6ab75683

1790400131 has 8 divisors (see below), whose sum is σ = 1928451840. Its totient is φ = 1652395392.

The previous prime is 1790400127. The next prime is 1790400151. The reversal of 1790400131 is 1310040971.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1790400131 - 22 = 1790400127 is a prime.

It is a super-2 number, since 2×17904001312 = 6411065258169634322, which contains 22 as substring.

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 1790400131.

It is not an unprimeable number, because it can be changed into a prime (1790400151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145310 + ... + 157148.

It is an arithmetic number, because the mean of its divisors is an integer number (241056480).

Almost surely, 21790400131 is an apocalyptic number.

1790400131 is a deficient number, since it is larger than the sum of its proper divisors (138051709).

1790400131 is a wasteful number, since it uses less digits than its factorization.

1790400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23485.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1790400131 is about 42313.1200811285. The cubic root of 1790400131 is about 1214.2740120362.

The spelling of 1790400131 in words is "one billion, seven hundred ninety million, four hundred thousand, one hundred thirty-one".

Divisors: 1 13 11633 11839 151229 153907 137723087 1790400131