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132802740 = 2234573239
BaseRepresentation
bin1111110101001…
…10100010110100
3100020220002010000
413322212202310
5232444141430
621102231300
73201543000
oct772464264
9306802100
10132802740
1168a66734
1238585530
132168a405
14138cd700
15b9d3e60
hex7ea68b4

132802740 has 240 divisors, whose sum is σ = 487872000. Its totient is φ = 30227904.

The previous prime is 132802711. The next prime is 132802763. The reversal of 132802740 is 47208231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 555541 + ... + 555779.

It is an arithmetic number, because the mean of its divisors is an integer number (2032800).

Almost surely, 2132802740 is an apocalyptic number.

132802740 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 132802740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936000).

132802740 is an abundant number, since it is smaller than the sum of its proper divisors (355069260).

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

132802740 is a wasteful number, since it uses less digits than its factorization.

132802740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132802740 is about 11524.0071155827. The cubic root of 132802740 is about 510.1943895657.

The spelling of 132802740 in words is "one hundred thirty-two million, eight hundred two thousand, seven hundred forty".