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133300008 = 23322963841
BaseRepresentation
bin1111111000111…
…11111100101000
3100021211100020100
413330133330220
5233111100013
621121025400
73206013522
oct774377450
9307740210
10133300008
11692762a6
1238785260
132180285a
14139bca12
15ba81473
hex7f1ff28

133300008 has 48 divisors (see below), whose sum is σ = 373475700. Its totient is φ = 42900480.

The previous prime is 133300007. The next prime is 133300033. The reversal of 133300008 is 800003331.

It can be written as a sum of positive squares in 2 ways, for example, as 132296004 + 1004004 = 11502^2 + 1002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133300001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29833 + ... + 34008.

Almost surely, 2133300008 is an apocalyptic number.

133300008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133300008 is an abundant number, since it is smaller than the sum of its proper divisors (240175692).

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

133300008 is a wasteful number, since it uses less digits than its factorization.

133300008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63882 (or 63875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133300008 is about 11545.5622643507. The cubic root of 133300008 is about 510.8303888537.

Adding to 133300008 its reverse (800003331), we get a palindrome (933303339).

The spelling of 133300008 in words is "one hundred thirty-three million, three hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 63841 127682 191523 255364 383046 510728 574569 766092 1149138 1532184 1851389 2298276 3702778 4596552 5554167 7405556 11108334 14811112 16662501 22216668 33325002 44433336 66650004 133300008