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83240118 = 232131272801
BaseRepresentation
bin1001111011000…
…10010010110110
312210122000222100
410331202102312
5132302140433
612132042530
72030346363
oct475422266
9183560870
1083240118
1142a94595
1223a63446
1314326110
14b0ab46a
157493b13
hex4f624b6

83240118 has 48 divisors (see below), whose sum is σ = 195826176. Its totient is φ = 25401600.

The previous prime is 83240111. The next prime is 83240137. The reversal of 83240118 is 81104238.

It is a junction number, because it is equal to n+sod(n) for n = 83240091 and 83240100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83240111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28318 + ... + 31118.

It is an arithmetic number, because the mean of its divisors is an integer number (4079712).

Almost surely, 283240118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83240118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913088).

83240118 is an abundant number, since it is smaller than the sum of its proper divisors (112586058).

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

83240118 is a wasteful number, since it uses less digits than its factorization.

83240118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83240118 is about 9123.6022491119. The cubic root of 83240118 is about 436.6273094169.

The spelling of 83240118 in words is "eighty-three million, two hundred forty thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2286 2801 3302 4953 5602 8403 9906 14859 16806 25209 29718 36413 50418 72826 109239 218478 327717 355727 655434 711454 1067181 2134362 3201543 4624451 6403086 9248902 13873353 27746706 41620059 83240118