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133707330 = 232512011237
BaseRepresentation
bin1111111100000…
…11011001000010
3100022121000222100
413332003121002
5233212113310
621133451230
73212331201
oct776033102
9308530870
10133707330
1169524329
1238940b16
1321916083
1413a87238
15bb11ec0
hex7f83642

133707330 has 48 divisors (see below), whose sum is σ = 348209784. Its totient is φ = 35596800.

The previous prime is 133707319. The next prime is 133707337. The reversal of 133707330 is 33707331.

It can be written as a sum of positive squares in 4 ways, for example, as 77951241 + 55756089 = 8829^2 + 7467^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 133707294 and 133707303.

It is not an unprimeable number, because it can be changed into a prime (133707337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107472 + ... + 108708.

Almost surely, 2133707330 is an apocalyptic number.

133707330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133707330 is an abundant number, since it is smaller than the sum of its proper divisors (214502454).

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

133707330 is a wasteful number, since it uses less digits than its factorization.

133707330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 27.

The square root of 133707330 is about 11563.1885740915. The cubic root of 133707330 is about 511.3501709693.

Subtracting from 133707330 its reverse (33707331), we obtain a palindrome (99999999).

The spelling of 133707330 in words is "one hundred thirty-three million, seven hundred seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1201 1237 2402 2474 3603 3711 6005 6185 7206 7422 10809 11133 12010 12370 18015 18555 21618 22266 36030 37110 54045 55665 108090 111330 1485637 2971274 4456911 7428185 8913822 13370733 14856370 22284555 26741466 44569110 66853665 133707330