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83132460 = 22335153949
BaseRepresentation
bin1001111010010…
…00000000101100
312210102120022000
410331020000230
5132240214320
612125452300
72026420455
oct475100054
9183376260
1083132460
1142a20714
1223a11090
13142b9108
14b08012c
157471c90
hex4f4802c

83132460 has 48 divisors (see below), whose sum is σ = 258636000. Its totient is φ = 22168512.

The previous prime is 83132443. The next prime is 83132471. The reversal of 83132460 is 6423138.

It is a happy number.

It is a super-2 number, since 2×831324602 = 13822011811303200, which contains 22 as substring.

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

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, 76435 + ... + 77514.

It is an arithmetic number, because the mean of its divisors is an integer number (5388250).

Almost surely, 283132460 is an apocalyptic number.

It is an amenable number.

83132460 is an abundant number, since it is smaller than the sum of its proper divisors (175503540).

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

83132460 is a wasteful number, since it uses less digits than its factorization.

83132460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153967 (or 153959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83132460 is about 9117.7003679656. The cubic root of 83132460 is about 436.4389919577.

Adding to 83132460 its reverse (6423138), we get a palindrome (89555598).

The spelling of 83132460 in words is "eighty-three million, one hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 153949 307898 461847 615796 769745 923694 1385541 1539490 1847388 2309235 2771082 3078980 4156623 4618470 5542164 6927705 8313246 9236940 13855410 16626492 20783115 27710820 41566230 83132460