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83962134 = 23229239673
BaseRepresentation
bin1010000000100…
…10100100010110
312211222201101200
411000102210112
5132443242014
612155333330
72036444364
oct500224426
9184881350
1083962134
1143437aa3
1224151246
1314519949
14b218634
157587a09
hex5012916

83962134 has 48 divisors (see below), whose sum is σ = 189259200. Its totient is φ = 26869248.

The previous prime is 83962129. The next prime is 83962171. The reversal of 83962134 is 43126938.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124422 + ... + 125094.

It is an arithmetic number, because the mean of its divisors is an integer number (3942900).

Almost surely, 283962134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83962134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94629600).

83962134 is an abundant number, since it is smaller than the sum of its proper divisors (105297066).

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

83962134 is a wasteful number, since it uses less digits than its factorization.

83962134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 946 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 83962134 is about 9163.0853973975. The cubic root of 83962134 is about 437.8860966092.

The spelling of 83962134 in words is "eighty-three million, nine hundred sixty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 239 261 478 522 673 717 1346 1434 2019 2151 4038 4302 6057 6931 12114 13862 19517 20793 39034 41586 58551 62379 117102 124758 160847 175653 321694 351306 482541 965082 1447623 2895246 4664563 9329126 13993689 27987378 41981067 83962134