Search a number
-
+
133335692 = 227171923641
BaseRepresentation
bin1111111001010…
…00101010001100
3100021220011011222
413330220222030
5233113220232
621121502512
73206222540
oct774505214
9307804158
10133335692
11692a0096
12387a1a38
1321815b79
14139cba20
15ba8bd12
hex7f28a8c

133335692 has 96 divisors (see below), whose sum is σ = 310625280. Its totient is φ = 48660480.

The previous prime is 133335689. The next prime is 133335721. The reversal of 133335692 is 296533331.

133335692 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1333356922 = 35556813522237728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207692 + ... + 208332.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 2133335692 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 133335692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312640).

133335692 is an abundant number, since it is smaller than the sum of its proper divisors (177289588).

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

133335692 is a wasteful number, since it uses less digits than its factorization.

133335692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its digits is 43740, while the sum is 35.

The square root of 133335692 is about 11547.1075166035. The cubic root of 133335692 is about 510.8759673588.

The spelling of 133335692 in words is "one hundred thirty-three million, three hundred thirty-five thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 17 19 23 28 34 38 46 68 76 92 119 133 161 238 266 322 323 391 437 476 532 641 644 646 782 874 1282 1292 1564 1748 2261 2564 2737 3059 4487 4522 5474 6118 7429 8974 9044 10897 10948 12179 12236 14743 14858 17948 21794 24358 29486 29716 43588 48716 52003 58972 76279 85253 103201 104006 152558 170506 206402 207043 208012 250631 280117 305116 341012 412804 414086 501262 560234 828172 1002524 1120468 1449301 1754417 1960819 2898602 3508834 3921638 4761989 5797204 7017668 7843276 9523978 19047956 33333923 66667846 133335692