Search a number
-
+
133690392 = 23331156267
BaseRepresentation
bin1111111011111…
…11010000011000
3100022120011202000
413331333100120
5233211043032
621133241000
73212230623
oct775772030
9308504660
10133690392
1169512630
1238933160
132190b454
1413a80dba
15bb0be7c
hex7f7f418

133690392 has 64 divisors (see below), whose sum is σ = 405129600. Its totient is φ = 40511520.

The previous prime is 133690391. The next prime is 133690409. The reversal of 133690392 is 293096331.

It is a happy number.

It is a super-2 number, since 2×1336903922 = 35746241826227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133690391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25758 + ... + 30509.

It is an arithmetic number, because the mean of its divisors is an integer number (6330150).

Almost surely, 2133690392 is an apocalyptic number.

133690392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133690392 is an abundant number, since it is smaller than the sum of its proper divisors (271439208).

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

133690392 is a wasteful number, since it uses less digits than its factorization.

133690392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56293 (or 56283 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 133690392 is about 11562.4561404574. The cubic root of 133690392 is about 511.3285775011.

The spelling of 133690392 in words is "one hundred thirty-three million, six hundred ninety thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 56267 112534 168801 225068 337602 450136 506403 618937 675204 1012806 1237874 1350408 1519209 1856811 2025612 2475748 3038418 3713622 4051224 4951496 5570433 6076836 7427244 11140866 12153672 14854488 16711299 22281732 33422598 44563464 66845196 133690392