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133830612 = 22325936269
BaseRepresentation
bin1111111101000…
…01011111010100
3100022211022002100
413332201133110
5233230034422
621140242100
73213353466
oct776413724
9308738070
10133830612
11695a8a13
12389a0330
132195a216
1413aba136
15bb387ac
hex7fa17d4

133830612 has 36 divisors (see below), whose sum is σ = 338918580. Its totient is φ = 44527872.

The previous prime is 133830607. The next prime is 133830617. The reversal of 133830612 is 216038331.

It is a happy number.

133830612 is a `hidden beast` number, since 13 + 3 + 8 + 30 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (133830607) and next prime (133830617).

It can be written as a sum of positive squares in 2 ways, for example, as 62157456 + 71673156 = 7884^2 + 8466^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133830617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18214 + ... + 24482.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2133830612 is an apocalyptic number.

133830612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133830612 is an abundant number, since it is smaller than the sum of its proper divisors (205087968).

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

133830612 is a wasteful number, since it uses less digits than its factorization.

133830612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133830612 is about 11568.5181419229. The cubic root of 133830612 is about 511.5072825421.

Adding to 133830612 its reverse (216038331), we get a palindrome (349868943).

The spelling of 133830612 in words is "one hundred thirty-three million, eight hundred thirty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 5337 6269 7116 10674 12538 18807 21348 25076 37614 56421 75228 112842 225684 3717517 7435034 11152551 14870068 22305102 33457653 44610204 66915306 133830612