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132856740 = 223351923563
BaseRepresentation
bin1111110101100…
…11101110100100
3100020222211012000
413322303232210
5233002403430
621103325300
73202156302
oct772635644
9306884160
10132856740
1168aa3265
12385b0830
13216a8b73
1413905272
15b9e4e60
hex7eb3ba4

132856740 has 192 divisors, whose sum is σ = 454809600. Its totient is φ = 32047488.

The previous prime is 132856727. The next prime is 132856741. The reversal of 132856740 is 47658231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132856695 and 132856704.

It is not an unprimeable number, because it can be changed into a prime (132856741) 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, 235699 + ... + 236261.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 2132856740 is an apocalyptic number.

132856740 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 132856740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227404800).

132856740 is an abundant number, since it is smaller than the sum of its proper divisors (321952860).

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

132856740 is a wasteful number, since it uses less digits than its factorization.

132856740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 132856740 is about 11526.3498124948. The cubic root of 132856740 is about 510.2635316223.

The spelling of 132856740 in words is "one hundred thirty-two million, eight hundred fifty-six thousand, seven hundred forty".