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133090680 = 23357315193
BaseRepresentation
bin1111110111011…
…00110101111000
3100021102201002110
413323230311320
5233032400210
621112332320
73204152322
oct773546570
9307381073
10133090680
1169142aa8
12386a40a0
132175b4a8
1413966612
15ba3e420
hex7eecd78

133090680 has 64 divisors (see below), whose sum is σ = 404768160. Its totient is φ = 35002368.

The previous prime is 133090679. The next prime is 133090691. The reversal of 133090680 is 86090331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164 + ... + 16356.

Almost surely, 2133090680 is an apocalyptic number.

133090680 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 133090680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202384080).

133090680 is an abundant number, since it is smaller than the sum of its proper divisors (271677480).

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

133090680 is a wasteful number, since it uses less digits than its factorization.

133090680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 133090680 is about 11536.4934013763. The cubic root of 133090680 is about 510.5628541719.

The spelling of 133090680 in words is "one hundred thirty-three million, ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 15193 30386 45579 60772 75965 91158 121544 151930 182316 227895 303860 364632 455790 607720 911580 1109089 1823160 2218178 3327267 4436356 5545445 6654534 8872712 11090890 13309068 16636335 22181780 26618136 33272670 44363560 66545340 133090680