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133833690 = 23251787473
BaseRepresentation
bin1111111101000…
…10001111011010
3100022211110022100
413332202033122
5233230134230
621140304230
73213365454
oct776421732
9308743270
10133833690
1169600261
12389a2076
132195b743
1413abb2d4
15bb39660
hex7fa23da

133833690 has 48 divisors (see below), whose sum is σ = 368440488. Its totient is φ = 33589248.

The previous prime is 133833683. The next prime is 133833691. The reversal of 133833690 is 96338331.

It can be written as a sum of positive squares in 4 ways, for example, as 132917841 + 915849 = 11529^2 + 957^2 .

It is a super-2 number, since 2×1338336902 = 35822913158032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133833691) 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 23 ways as a sum of consecutive naturals, for example, 42207 + ... + 45266.

Almost surely, 2133833690 is an apocalyptic number.

133833690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133833690 is an abundant number, since it is smaller than the sum of its proper divisors (234606798).

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

133833690 is a wasteful number, since it uses less digits than its factorization.

133833690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87503 (or 87500 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 133833690 is about 11568.6511746184. The cubic root of 133833690 is about 511.5112039353.

The spelling of 133833690 in words is "one hundred thirty-three million, eight hundred thirty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 87473 174946 262419 437365 524838 787257 874730 1312095 1487041 1574514 2624190 2974082 3936285 4461123 7435205 7872570 8922246 13383369 14870410 22305615 26766738 44611230 66916845 133833690