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133074918 = 232231272531
BaseRepresentation
bin1111110111010…
…00111111100110
3100021101220110200
413323220333212
5233031344133
621112131330
73204055344
oct773507746
9307356420
10133074918
1169132179
1238696b46
1321754272
1413960994
15ba39913
hex7ee8fe6

133074918 has 48 divisors (see below), whose sum is σ = 303353856. Its totient is φ = 42078960.

The previous prime is 133074911. The next prime is 133074959. The reversal of 133074918 is 819470331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133074911) 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 23 ways as a sum of consecutive naturals, for example, 51313 + ... + 53843.

It is an arithmetic number, because the mean of its divisors is an integer number (6319872).

Almost surely, 2133074918 is an apocalyptic number.

133074918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133074918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151676928).

133074918 is an abundant number, since it is smaller than the sum of its proper divisors (170278938).

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

133074918 is a wasteful number, since it uses less digits than its factorization.

133074918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 133074918 is about 11535.8102446252. The cubic root of 133074918 is about 510.5426979660.

It can be divided in two parts, 13307 and 4918, that added together give a square (18225 = 1352).

The spelling of 133074918 in words is "one hundred thirty-three million, seventy-four thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 381 414 762 1143 2286 2531 2921 5062 5842 7593 8763 15186 17526 22779 26289 45558 52578 58213 116426 174639 321437 349278 523917 642874 964311 1047834 1928622 2892933 5785866 7393051 14786102 22179153 44358306 66537459 133074918