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3116611540 = 2257101220411
BaseRepresentation
bin1011100111000011…
…1011011111010100
322001012110021022001
42321300323133110
522340323032130
61233131445044
7140142522010
oct27160733724
98035407261
103116611540
11135a278419
1272b8b6784
133a88c3053
14217cbd540
1513392a6ca
hexb9c3b7d4

3116611540 has 48 divisors (see below), whose sum is σ = 7553960064. Its totient is φ = 1057968000.

The previous prime is 3116611517. The next prime is 3116611543. The reversal of 3116611540 is 451166113.

It is a super-2 number, since 2×31166115402 = 19426534982522343200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3116611499 and 3116611508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116611543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96066 + ... + 124345.

It is an arithmetic number, because the mean of its divisors is an integer number (157374168).

Almost surely, 23116611540 is an apocalyptic number.

It is an amenable number.

3116611540 is an abundant number, since it is smaller than the sum of its proper divisors (4437348524).

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

3116611540 is a wasteful number, since it uses less digits than its factorization.

3116611540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220528 (or 220526 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 3116611540 is about 55826.6203526597. The cubic root of 3116611540 is about 1460.6995365451.

Adding to 3116611540 its reverse (451166113), we get a palindrome (3567777653).

It can be divided in two parts, 3116 and 611540, that added together give a 4-th power (614656 = 284).

The spelling of 3116611540 in words is "three billion, one hundred sixteen million, six hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 220411 440822 881644 1102055 1542877 2204110 3085754 4408220 6171508 7714385 15428770 22261511 30857540 44523022 89046044 111307555 155830577 222615110 311661154 445230220 623322308 779152885 1558305770 3116611540