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133106712 = 2335639851
BaseRepresentation
bin1111110111100…
…00110000011000
3100021110112002020
413323300300120
5233033403322
621112534440
73204250134
oct773606030
9307415066
10133106712
1169154052
12386b1420
132176588b
141396c3c4
15ba4405c
hex7ef0c18

133106712 has 32 divisors (see below), whose sum is σ = 333391680. Its totient is φ = 44285600.

The previous prime is 133106707. The next prime is 133106713. The reversal of 133106712 is 217601331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133106713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8587 + ... + 18437.

It is an arithmetic number, because the mean of its divisors is an integer number (10418490).

Almost surely, 2133106712 is an apocalyptic number.

133106712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133106712 is an abundant number, since it is smaller than the sum of its proper divisors (200284968).

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

133106712 is a wasteful number, since it uses less digits than its factorization.

133106712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 133106712 is about 11537.1882189726. The cubic root of 133106712 is about 510.5833540171.

The spelling of 133106712 in words is "one hundred thirty-three million, one hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 563 1126 1689 2252 3378 4504 6756 9851 13512 19702 29553 39404 59106 78808 118212 236424 5546113 11092226 16638339 22184452 33276678 44368904 66553356 133106712