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133070680 = 23519311563
BaseRepresentation
bin1111110111001…
…11111101011000
3100021101200122201
413323213331120
5233031230210
621112055544
73204040111
oct773477530
9307350581
10133070680
1169129a76
12386945b4
1321752362
141395d208
15ba3853a
hex7ee7f58

133070680 has 64 divisors (see below), whose sum is σ = 316742400. Its totient is φ = 50175360.

The previous prime is 133070671. The next prime is 133070687. The reversal of 133070680 is 86070331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133070687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236079 + ... + 236641.

It is an arithmetic number, because the mean of its divisors is an integer number (4949100).

Almost surely, 2133070680 is an apocalyptic number.

133070680 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 133070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158371200).

133070680 is an abundant number, since it is smaller than the sum of its proper divisors (183671720).

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

133070680 is a wasteful number, since it uses less digits than its factorization.

133070680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 133070680 is about 11535.6265542882. The cubic root of 133070680 is about 510.5372782046.

It can be divided in two parts, 1330 and 70680, that added together give a triangular number (72010 = T379).

The spelling of 133070680 in words is "one hundred thirty-three million, seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 311 380 563 622 760 1126 1244 1555 2252 2488 2815 3110 4504 5630 5909 6220 10697 11260 11818 12440 21394 22520 23636 29545 42788 47272 53485 59090 85576 106970 118180 175093 213940 236360 350186 427880 700372 875465 1400744 1750930 3326767 3501860 6653534 7003720 13307068 16633835 26614136 33267670 66535340 133070680