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83000330 = 25723311663
BaseRepresentation
bin1001111001001…
…11110000001010
312210011212001022
410330213300022
5132222002310
612122552442
72025330320
oct474476012
9183155038
1083000330
1142940416
1223968722
1314270c2a
14b047d10
157447a55
hex4f27c0a

83000330 has 64 divisors (see below), whose sum is σ = 184025088. Its totient is φ = 26326080.

The previous prime is 83000329. The next prime is 83000347. The reversal of 83000330 is 3300038.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83000299 and 83000308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49079 + ... + 50741.

It is an arithmetic number, because the mean of its divisors is an integer number (2875392).

Almost surely, 283000330 is an apocalyptic number.

83000330 is an abundant number, since it is smaller than the sum of its proper divisors (101024758).

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

83000330 is a wasteful number, since it uses less digits than its factorization.

83000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 83000330 is about 9110.4516902292. The cubic root of 83000330 is about 436.2076452505.

Adding to 83000330 its reverse (3300038), we get a palindrome (86300368).

The spelling of 83000330 in words is "eighty-three million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 23 31 35 46 62 70 115 155 161 217 230 310 322 434 713 805 1085 1426 1610 1663 2170 3326 3565 4991 7130 8315 9982 11641 16630 23282 24955 38249 49910 51553 58205 76498 103106 116410 191245 257765 267743 360871 382490 515530 535486 721742 1185719 1338715 1804355 2371438 2677430 3608710 5928595 8300033 11857190 16600066 41500165 83000330