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67933030 = 25112232441
BaseRepresentation
bin1000000110010…
…01001101100110
311201211100121011
410003021031212
5114342324110
610424012434
71453264324
oct403111546
9151740534
1067933030
113538a100
121a90111a
13110c6a79
149044d14
155e6d48a
hex40c9366

67933030 has 48 divisors (see below), whose sum is σ = 140307552. Its totient is φ = 23619200.

The previous prime is 67932983. The next prime is 67933031. The reversal of 67933030 is 3033976.

It is a happy number.

It is a super-2 number, since 2×679330302 = 9229793129961800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67932983 and 67933001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67933031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26610 + ... + 29050.

It is an arithmetic number, because the mean of its divisors is an integer number (2923074).

Almost surely, 267933030 is an apocalyptic number.

67933030 is an abundant number, since it is smaller than the sum of its proper divisors (72374522).

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

67933030 is a wasteful number, since it uses less digits than its factorization.

67933030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 67933030 is about 8242.1495982541. The cubic root of 67933030 is about 408.0314718450.

The spelling of 67933030 in words is "sixty-seven million, nine hundred thirty-three thousand, thirty".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 121 230 242 253 506 605 1210 1265 2441 2530 2783 4882 5566 12205 13915 24410 26851 27830 53702 56143 112286 134255 268510 280715 295361 561430 590722 617573 1235146 1476805 2953610 3087865 6175730 6793303 13586606 33966515 67933030