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133970096 = 24133179263
BaseRepresentation
bin1111111110000…
…11100010110000
3100100002101102102
413333003202300
5233244020341
621143235532
73214504241
oct777034260
9310071372
10133970096
1169693797
1238a48ba8
13219a8860
1413b14cc8
15bb64c9b
hex7fc38b0

133970096 has 80 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 58855680.

The previous prime is 133970077. The next prime is 133970117. The reversal of 133970096 is 690079331.

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, 509261 + ... + 509523.

It is an arithmetic number, because the mean of its divisors is an integer number (3666432).

Almost surely, 2133970096 is an apocalyptic number.

133970096 is a gapful number since it is divisible by the number (16) 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 133970096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

133970096 is an abundant number, since it is smaller than the sum of its proper divisors (159344464).

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

133970096 is a wasteful number, since it uses less digits than its factorization.

133970096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 133970096 is about 11574.5451746494. The cubic root of 133970096 is about 511.6849257785.

The spelling of 133970096 in words is "one hundred thirty-three million, nine hundred seventy thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 79 104 124 158 208 248 263 316 403 496 526 632 806 1027 1052 1264 1612 2054 2104 2449 3224 3419 4108 4208 4898 6448 6838 8153 8216 9796 13676 16306 16432 19592 20777 27352 31837 32612 39184 41554 54704 63674 65224 83108 105989 127348 130448 166216 211978 254696 270101 332432 423956 509392 540202 644087 847912 1080404 1288174 1695824 2160808 2576348 4321616 5152696 8373131 10305392 16746262 33492524 66985048 133970096