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133013488 = 2429439653
BaseRepresentation
bin1111110110110…
…01111111110000
3100021021210012111
413323121333300
5233022412423
621110535104
73203411266
oct773317760
9307253174
10133013488
11690a0003
1238667494
132173230a
1413946436
15ba2660d
hex7ed9ff0

133013488 has 40 divisors (see below), whose sum is σ = 267616800. Its totient is φ = 63969024.

The previous prime is 133013453. The next prime is 133013497. The reversal of 133013488 is 884310331.

It is a super-2 number, since 2×1330134882 = 35385175979852288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203370 + ... + 204022.

It is an arithmetic number, because the mean of its divisors is an integer number (6690420).

Almost surely, 2133013488 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 133013488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133808400).

133013488 is an abundant number, since it is smaller than the sum of its proper divisors (134603312).

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

133013488 is a wasteful number, since it uses less digits than its factorization.

133013488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 133013488 is about 11533.1473588089. The cubic root of 133013488 is about 510.4641270239.

The spelling of 133013488 in words is "one hundred thirty-three million, thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 439 464 653 878 1306 1756 2612 3512 5224 7024 10448 12731 18937 25462 37874 50924 75748 101848 151496 203696 286667 302992 573334 1146668 2293336 4586672 8313343 16626686 33253372 66506744 133013488