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1132640712 = 233372832647
BaseRepresentation
bin100001110000010…
…1011100111001000
32220221021002222000
41003200223213020
54304424000322
6304220231000
740032200340
oct10340534710
92827232860
101132640712
11531389805
1227739b460
1315086b908
14aa5d7d20
15696823ac
hex4382b9c8

1132640712 has 128 divisors (see below), whose sum is σ = 3609753600. Its totient is φ = 322346304.

The previous prime is 1132640671. The next prime is 1132640753. The reversal of 1132640712 is 2170462311.

1132640712 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 640 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1132640671) and next prime (1132640753).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426573 + ... + 429219.

It is an arithmetic number, because the mean of its divisors is an integer number (28201200).

Almost surely, 21132640712 is an apocalyptic number.

1132640712 is a gapful number since it is divisible by the number (12) 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 1132640712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804876800).

1132640712 is an abundant number, since it is smaller than the sum of its proper divisors (2477112888).

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

1132640712 is a wasteful number, since it uses less digits than its factorization.

1132640712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1132640712 is about 33654.7279293712. The cubic root of 1132640712 is about 1042.3911671491.

The spelling of 1132640712 in words is "one billion, one hundred thirty-two million, six hundred forty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 283 378 504 566 756 849 1132 1512 1698 1981 2264 2547 2647 3396 3962 5094 5294 5943 6792 7641 7924 7941 10188 10588 11886 15282 15848 15882 17829 18529 20376 21176 23772 23823 30564 31764 35658 37058 47544 47646 53487 55587 61128 63528 71316 71469 74116 95292 106974 111174 142632 142938 148232 166761 190584 213948 222348 285876 333522 427896 444696 500283 571752 667044 749101 1000566 1334088 1498202 2001132 2247303 2996404 4002264 4494606 5243707 5992808 6741909 8989212 10487414 13483818 15731121 17978424 20225727 20974828 26967636 31462242 40451454 41949656 47193363 53935272 62924484 80902908 94386726 125848968 141580089 161805816 188773452 283160178 377546904 566320356 1132640712