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133333320 = 23352394649
BaseRepresentation
bin1111111001010…
…00000101001000
3100021220000221010
413330220011020
5233113131240
621121443520
73206212611
oct774500510
9307800833
10133333320
116929932a
12387a05a0
1321814a73
14139cac08
15ba8b280
hex7f28148

133333320 has 64 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 35399168.

The previous prime is 133333309. The next prime is 133333327. The reversal of 133333320 is 23333331.

It is not an unprimeable number, because it can be changed into a prime (133333327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26356 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (6277500).

Almost surely, 2133333320 is an apocalyptic number.

133333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

133333320 is an abundant number, since it is smaller than the sum of its proper divisors (268426680).

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

133333320 is a wasteful number, since it uses less digits than its factorization.

133333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 133333320 is about 11547.0048064422. The cubic root of 133333320 is about 510.8729378999.

Adding to 133333320 its reverse (23333331), we get a palindrome (156666651).

It can be divided in two parts, 13333 and 3320, that added together give a triangular number (16653 = T182).

The spelling of 133333320 in words is "one hundred thirty-three million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4649 4780 5736 7170 9298 9560 13947 14340 18596 23245 27894 28680 37192 46490 55788 69735 92980 111576 139470 185960 278940 557880 1111111 2222222 3333333 4444444 5555555 6666666 8888888 11111110 13333332 16666665 22222220 26666664 33333330 44444440 66666660 133333320