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1239493968 = 24332869199
BaseRepresentation
bin100100111100001…
…0010110101010000
310012101022211002000
41021320102311100
510014302301333
6322554354000
742500345016
oct11170226520
93171284060
101239493968
11586731189
122a712b900
13169a418ab
14ba8908b6
1573c3c713
hex49e12d50

1239493968 has 40 divisors (see below), whose sum is σ = 3557808000. Its totient is φ = 413164512.

The previous prime is 1239493967. The next prime is 1239493991. The reversal of 1239493968 is 8693949321.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1239493967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1434168 + ... + 1435031.

It is an arithmetic number, because the mean of its divisors is an integer number (88945200).

Almost surely, 21239493968 is an apocalyptic number.

1239493968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1239493968 is an abundant number, since it is smaller than the sum of its proper divisors (2318314032).

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

1239493968 is a wasteful number, since it uses less digits than its factorization.

1239493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869216 (or 2869204 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1239493968 is about 35206.4478185460. The cubic root of 1239493968 is about 1074.1909089174.

The spelling of 1239493968 in words is "one billion, two hundred thirty-nine million, four hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2869199 5738398 8607597 11476796 17215194 22953592 25822791 34430388 45907184 51645582 68860776 77468373 103291164 137721552 154936746 206582328 309873492 413164656 619746984 1239493968