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3132613140 = 2235376721061
BaseRepresentation
bin1011101010110111…
…1110001000010100
322002022120020100220
42322231332020110
522403422110030
61234502434340
7140425525626
oct27255761024
98068506326
103132613140
111368307688
127351329b0
133ac006557
1421a086c16
1513503ba10
hexbab7e214

3132613140 has 96 divisors (see below), whose sum is σ = 9143266944. Its totient is φ = 800616960.

The previous prime is 3132613139. The next prime is 3132613199. The reversal of 3132613140 is 413162313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3132613140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138210 + ... + 159270.

It is an arithmetic number, because the mean of its divisors is an integer number (95242364).

Almost surely, 23132613140 is an apocalyptic number.

3132613140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132613140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571633472).

3132613140 is an abundant number, since it is smaller than the sum of its proper divisors (6010653804).

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

3132613140 is a wasteful number, since it uses less digits than its factorization.

3132613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21177 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3132613140 is about 55969.7520094560. The cubic root of 3132613140 is about 1463.1951572885.

Adding to 3132613140 its reverse (413162313), we get a palindrome (3545775453).

The spelling of 3132613140 in words is "three billion, one hundred thirty-two million, six hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 67 74 111 134 148 185 201 222 268 335 370 402 444 555 670 740 804 1005 1110 1340 2010 2220 2479 4020 4958 7437 9916 12395 14874 21061 24790 29748 37185 42122 49580 63183 74370 84244 105305 126366 148740 210610 252732 315915 421220 631830 779257 1263660 1411087 1558514 2337771 2822174 3117028 3896285 4233261 4675542 5644348 7055435 7792570 8466522 9351084 11688855 14110870 15585140 16933044 21166305 23377710 28221740 42332610 46755420 52210219 84665220 104420438 156630657 208840876 261051095 313261314 522102190 626522628 783153285 1044204380 1566306570 3132613140