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1013035040 = 2556331469
BaseRepresentation
bin111100011000011…
…011000000100000
32121121012111211022
4330120123000200
54033314110130
6244304505012
734050440633
oct7430330040
92547174738
101013035040
1147a917246
1224331b168
13131b52324
1498781c1a
155de087e5
hex3c61b020

1013035040 has 24 divisors (see below), whose sum is σ = 2393295660. Its totient is φ = 405213952.

The previous prime is 1013035031. The next prime is 1013035063. The reversal of 1013035040 is 405303101.

It can be written as a sum of positive squares in 2 ways, for example, as 1013021584 + 13456 = 31828^2 + 116^2 .

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 3 ways as a sum of consecutive naturals, for example, 3165575 + ... + 3165894.

Almost surely, 21013035040 is an apocalyptic number.

1013035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013035040 is an abundant number, since it is smaller than the sum of its proper divisors (1380260620).

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

1013035040 is an equidigital number, since it uses as much as digits as its factorization.

1013035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331484 (or 6331476 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1013035040 is about 31828.2113854989. The cubic root of 1013035040 is about 1004.3262697325.

Adding to 1013035040 its reverse (405303101), we get a palindrome (1418338141).

The spelling of 1013035040 in words is "one billion, thirteen million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6331469 12662938 25325876 31657345 50651752 63314690 101303504 126629380 202607008 253258760 506517520 1013035040