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133162720 = 2553132659
BaseRepresentation
bin1111110111111…
…10011011100000
3100021120100220121
413323332123200
5233042201340
621114050024
73204602335
oct773763340
9307510817
10133162720
1169192139
1238719914
1321785212
141398498c
15ba5594a
hex7efe6e0

133162720 has 48 divisors (see below), whose sum is σ = 315720720. Its totient is φ = 53074944.

The previous prime is 133162681. The next prime is 133162727. The reversal of 133162720 is 27261331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133162727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48751 + ... + 51409.

It is an arithmetic number, because the mean of its divisors is an integer number (6577515).

Almost surely, 2133162720 is an apocalyptic number.

133162720 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 133162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157860360).

133162720 is an abundant number, since it is smaller than the sum of its proper divisors (182558000).

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

133162720 is a wasteful number, since it uses less digits than its factorization.

133162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 133162720 is about 11539.6152448858. The cubic root of 133162720 is about 510.6549575751.

The spelling of 133162720 in words is "one hundred thirty-three million, one hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 2659 3130 5008 5318 6260 10016 10636 12520 13295 21272 25040 26590 42544 50080 53180 85088 106360 212720 425440 832267 1664534 3329068 4161335 6658136 8322670 13316272 16645340 26632544 33290680 66581360 133162720