Search a number
-
+
68267460 = 22354127751
BaseRepresentation
bin1000001000110…
…10110111000100
311202110100100110
410010122313010
5114434024320
610435113020
71456156332
oct404326704
9152410313
1068267460
1135598398
121aa42770
13111b3061
1490d0b52
155ed75e0
hex411adc4

68267460 has 48 divisors (see below), whose sum is σ = 195818112. Its totient is φ = 17760000.

The previous prime is 68267449. The next prime is 68267467. The reversal of 68267460 is 6476286.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68267467) 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 15 ways as a sum of consecutive naturals, for example, 11416 + ... + 16335.

It is an arithmetic number, because the mean of its divisors is an integer number (4079544).

Almost surely, 268267460 is an apocalyptic number.

68267460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68267460 is an abundant number, since it is smaller than the sum of its proper divisors (127550652).

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

68267460 is a wasteful number, since it uses less digits than its factorization.

68267460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27804 (or 27802 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 68267460 is about 8262.4124806257. The cubic root of 68267460 is about 408.6999471111.

The spelling of 68267460 in words is "sixty-eight million, two hundred sixty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 27751 55502 83253 111004 138755 166506 277510 333012 416265 555020 832530 1137791 1665060 2275582 3413373 4551164 5688955 6826746 11377910 13653492 17066865 22755820 34133730 68267460