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133027380 = 223351743337
BaseRepresentation
bin1111110110111…
…01011000110100
3100021022111021000
413323131120310
5233023334010
621111123300
73203466633
oct773353064
9307274230
10133027380
11690aa492
1238673530
1321738735
141394b51a
15ba2a7c0
hex7edd634

133027380 has 192 divisors, whose sum is σ = 449729280. Its totient is φ = 32514048.

The previous prime is 133027351. The next prime is 133027381. The reversal of 133027380 is 83720331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133027381) 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 63 ways as a sum of consecutive naturals, for example, 394572 + ... + 394908.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2133027380 is an apocalyptic number.

133027380 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 133027380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

133027380 is an abundant number, since it is smaller than the sum of its proper divisors (316701900).

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

133027380 is a wasteful number, since it uses less digits than its factorization.

133027380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133027380 is about 11533.7496071312. The cubic root of 133027380 is about 510.4818974543.

The spelling of 133027380 in words is "one hundred thirty-three million, twenty-seven thousand, three hundred eighty".