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83368040 = 23572910267
BaseRepresentation
bin1001111100000…
…01100001101000
312210212112110012
410332001201220
5132320234130
612134511052
72031421340
oct476014150
9183775405
1083368040
1143071708
1223b05488
131436c402
14b101d20
1574bb995
hex4f81868

83368040 has 64 divisors (see below), whose sum is σ = 221788800. Its totient is φ = 27595008.

The previous prime is 83368037. The next prime is 83368063. The reversal of 83368040 is 4086338.

It is a junction number, because it is equal to n+sod(n) for n = 83367988 and 83368006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2987 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (3465450).

Almost surely, 283368040 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 83368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110894400).

83368040 is an abundant number, since it is smaller than the sum of its proper divisors (138420760).

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

83368040 is a wasteful number, since it uses less digits than its factorization.

83368040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 83368040 is about 9130.6100562887. The cubic root of 83368040 is about 436.8508620839.

The spelling of 83368040 in words is "eighty-three million, three hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 10267 20534 41068 51335 71869 82136 102670 143738 205340 287476 297743 359345 410680 574952 595486 718690 1190972 1437380 1488715 2084201 2381944 2874760 2977430 4168402 5954860 8336804 10421005 11909720 16673608 20842010 41684020 83368040