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540311145 = 351126312451
BaseRepresentation
bin100000001101000…
…111111001101001
31101122200122112220
4200031013321221
52101304424040
6125340424253
716250366103
oct4015077151
91348618486
10540311145
11257a9a840
12130b48089
1387c2a44a
1451a8a573
153267c2d0
hex20347e69

540311145 has 32 divisors (see below), whose sum is σ = 946750464. Its totient is φ = 260952000.

The previous prime is 540311129. The next prime is 540311171. The reversal of 540311145 is 541113045.

It is a happy number.

It is not a de Polignac number, because 540311145 - 24 = 540311129 is a prime.

It is a super-2 number, since 2×5403111452 = 583872266822422050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37170 + ... + 49620.

It is an arithmetic number, because the mean of its divisors is an integer number (29585952).

Almost surely, 2540311145 is an apocalyptic number.

540311145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540311145 is a deficient number, since it is larger than the sum of its proper divisors (406439319).

540311145 is a wasteful number, since it uses less digits than its factorization.

540311145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 540311145 is about 23244.5938876118. The cubic root of 540311145 is about 814.4816581836.

The spelling of 540311145 in words is "five hundred forty million, three hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 263 789 1315 2893 3945 8679 12451 14465 37353 43395 62255 136961 186765 410883 684805 2054415 3274613 9823839 16373065 36020743 49119195 108062229 180103715 540311145