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133714460 = 225112632311
BaseRepresentation
bin1111111100001…
…01001000011100
3100022121101202102
413332011020130
5233212330320
621133544232
73212361035
oct776051034
9308541672
10133714460
1169529720
1238945078
13219193a9
1413a89a8c
15bb14175
hex7f8521c

133714460 has 48 divisors (see below), whose sum is σ = 307625472. Its totient is φ = 48417600.

The previous prime is 133714459. The next prime is 133714463. The reversal of 133714460 is 64417331.

133714460 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

133714460 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133714463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56705 + ... + 59015.

It is an arithmetic number, because the mean of its divisors is an integer number (6408864).

Almost surely, 2133714460 is an apocalyptic number.

133714460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133714460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153812736).

133714460 is an abundant number, since it is smaller than the sum of its proper divisors (173911012).

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

133714460 is a wasteful number, since it uses less digits than its factorization.

133714460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 133714460 is about 11563.4968759454. The cubic root of 133714460 is about 511.3592601293.

The spelling of 133714460 in words is "one hundred thirty-three million, seven hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2311 2630 2893 4622 5260 5786 9244 11555 11572 14465 23110 25421 28930 46220 50842 57860 101684 127105 254210 508420 607793 1215586 2431172 3038965 6077930 6685723 12155860 13371446 26742892 33428615 66857230 133714460