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1076133305 = 513192930047
BaseRepresentation
bin100000000100100…
…0111110110111001
32202222221020101002
41000021013312321
54200442231210
6254441134345
735444660612
oct10011076671
92688836332
101076133305
115024a3975
1226048a3b5
13141c45590
14a2cc8c09
156471e4a5
hex40247db9

1076133305 has 32 divisors (see below), whose sum is σ = 1514419200. Its totient is φ = 726872832.

The previous prime is 1076133301. The next prime is 1076133329. The reversal of 1076133305 is 5033316701.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1076133305 - 22 = 1076133301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1076133301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20792 + ... + 50838.

It is an arithmetic number, because the mean of its divisors is an integer number (47325600).

Almost surely, 21076133305 is an apocalyptic number.

It is an amenable number.

1076133305 is a deficient number, since it is larger than the sum of its proper divisors (438285895).

1076133305 is a wasteful number, since it uses less digits than its factorization.

1076133305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30113.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 1076133305 is about 32804.4708081078. The cubic root of 1076133305 is about 1024.7596676274.

The spelling of 1076133305 in words is "one billion, seventy-six million, one hundred thirty-three thousand, three hundred five".

Divisors: 1 5 13 19 29 65 95 145 247 377 551 1235 1885 2755 7163 30047 35815 150235 390611 570893 871363 1953055 2854465 4356815 7421609 11327719 16555897 37108045 56638595 82779485 215226661 1076133305