Search a number
-
+
133995264 = 2831313421
BaseRepresentation
bin1111111110010…
…01101100000000
3100100010122221120
413333021230000
5233300322024
621143552240
73214640514
oct777115400
9310118846
10133995264
1169700697
1238a5b680
13219b7150
1413b20144
15bb6c479
hex7fc9b00

133995264 has 72 divisors (see below), whose sum is σ = 384083952. Its totient is φ = 41226240.

The previous prime is 133995233. The next prime is 133995269. The reversal of 133995264 is 462599331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133995269) 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, 3274 + ... + 16694.

Almost surely, 2133995264 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 133995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192041976).

133995264 is an abundant number, since it is smaller than the sum of its proper divisors (250088688).

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

133995264 is a wasteful number, since it uses less digits than its factorization.

133995264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453 (or 13439 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 133995264 is about 11575.6323369395. The cubic root of 133995264 is about 511.7169659632.

The spelling of 133995264 in words is "one hundred thirty-three million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 13421 26842 40263 53684 80526 107368 161052 174473 214736 322104 348946 429472 523419 644208 697892 858944 1046838 1288416 1395784 1717888 2093676 2576832 2791568 3435776 4187352 5153664 5583136 8374704 10307328 11166272 16749408 22332544 33498816 44665088 66997632 133995264