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83133140 = 22529143333
BaseRepresentation
bin1001111010010…
…00001011010100
312210102121020012
410331020023110
5132240230030
612125455352
72026422446
oct475101324
9183377205
1083133140
1142a21182
1223a11558
13142b950c
14b080496
157472095
hex4f482d4

83133140 has 24 divisors (see below), whose sum is σ = 180600840. Its totient is φ = 32106368.

The previous prime is 83133139. The next prime is 83133173. The reversal of 83133140 is 4133138.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 83101456 = 178^2 + 9116^2 .

It is a super-2 number, since 2×831331402 = 13822237932519200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71087 + ... + 72246.

It is an arithmetic number, because the mean of its divisors is an integer number (7525035).

Almost surely, 283133140 is an apocalyptic number.

It is an amenable number.

83133140 is an abundant number, since it is smaller than the sum of its proper divisors (97467700).

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

83133140 is a wasteful number, since it uses less digits than its factorization.

83133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143371 (or 143369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 83133140 is about 9117.7376579939. The cubic root of 83133140 is about 436.4401819369.

Adding to 83133140 its reverse (4133138), we get a palindrome (87266278).

The spelling of 83133140 in words is "eighty-three million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 143333 286666 573332 716665 1433330 2866660 4156657 8313314 16626628 20783285 41566570 83133140