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3127132740 = 2235203925561
BaseRepresentation
bin1011101001100100…
…0100001001000100
322001221020210200010
42322121010021010
522401021221430
61234145150220
7140331122034
oct27231041104
98057223603
103127132740
111365204126
1273332b370
133aab37c04
1421945b8c4
15134807cb0
hexba644244

3127132740 has 48 divisors (see below), whose sum is σ = 8760608640. Its totient is φ = 833460480.

The previous prime is 3127132709. The next prime is 3127132753. The reversal of 3127132740 is 472317213.

It is a super-4 number, since 4×31271327404 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3127132698 and 3127132707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109560 + ... + 135120.

It is an arithmetic number, because the mean of its divisors is an integer number (182512680).

Almost surely, 23127132740 is an apocalyptic number.

3127132740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3127132740 is an abundant number, since it is smaller than the sum of its proper divisors (5633475900).

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

3127132740 is a wasteful number, since it uses less digits than its factorization.

3127132740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27612 (or 27610 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3127132740 is about 55920.7719903794. The cubic root of 3127132740 is about 1462.3413891837.

Adding to 3127132740 its reverse (472317213), we get a palindrome (3599449953).

The spelling of 3127132740 in words is "three billion, one hundred twenty-seven million, one hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2039 4078 6117 8156 10195 12234 20390 24468 25561 30585 40780 51122 61170 76683 102244 122340 127805 153366 255610 306732 383415 511220 766830 1533660 52118879 104237758 156356637 208475516 260594395 312713274 521188790 625426548 781783185 1042377580 1563566370 3127132740