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133312770 = 2335563877
BaseRepresentation
bin1111111001000…
…11000100000010
3100021211222202000
413330203010002
5233112002040
621121204430
73206065653
oct774430402
9307758660
10133312770
1169284948
1238790716
13218085c6
14139c352a
15ba85130
hex7f23102

133312770 has 64 divisors (see below), whose sum is σ = 356538240. Its totient is φ = 35446464.

The previous prime is 133312763. The next prime is 133312783. The reversal of 133312770 is 77213331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151572 + ... + 152448.

It is an arithmetic number, because the mean of its divisors is an integer number (5570910).

Almost surely, 2133312770 is an apocalyptic number.

133312770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133312770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178269120).

133312770 is an abundant number, since it is smaller than the sum of its proper divisors (223225470).

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

133312770 is a wasteful number, since it uses less digits than its factorization.

133312770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 133312770 is about 11546.1149310060. The cubic root of 133312770 is about 510.8466904516.

The spelling of 133312770 in words is "one hundred thirty-three million, three hundred twelve thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 563 877 1126 1689 1754 2631 2815 3378 4385 5067 5262 5630 7893 8445 8770 10134 13155 15201 15786 16890 23679 25335 26310 30402 39465 47358 50670 76005 78930 118395 152010 236790 493751 987502 1481253 2468755 2962506 4443759 4937510 7406265 8887518 13331277 14812530 22218795 26662554 44437590 66656385 133312770