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83336136 = 23313377219
BaseRepresentation
bin1001111011110…
…01101111001000
312210210220200120
410331321233020
5132313224021
612134103240
72031226332
oct475715710
9183726616
1083336136
114304a744
1223aaab20
131435aa30
14b0d4452
1574b22c6
hex4f79bc8

83336136 has 64 divisors (see below), whose sum is σ = 230462400. Its totient is φ = 24945408.

The previous prime is 83336131. The next prime is 83336137. The reversal of 83336136 is 63163338.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83336097 and 83336106.

It is not an unprimeable number, because it can be changed into a prime (83336131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7935 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (3600975).

Almost surely, 283336136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83336136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115231200).

83336136 is an abundant number, since it is smaller than the sum of its proper divisors (147126264).

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

83336136 is a wasteful number, since it uses less digits than its factorization.

83336136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7274 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 83336136 is about 9128.8627988375. The cubic root of 83336136 is about 436.7951290230.

The spelling of 83336136 in words is "eighty-three million, three hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 7219 11544 14438 21657 28876 43314 57752 86628 93847 173256 187694 267103 281541 375388 534206 563082 750776 801309 1068412 1126164 1602618 2136824 2252328 3205236 3472339 6410472 6944678 10417017 13889356 20834034 27778712 41668068 83336136