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132921040 = 2457972447
BaseRepresentation
bin1111110110000…
…11011011010000
3100021010002101111
413323003123100
5233011433130
621104543104
73202544620
oct773033320
9307102344
10132921040
11690375aa
1238621a94
13216cc205
1413920880
15ba0902a
hex7ec36d0

132921040 has 80 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 45084672.

The previous prime is 132921001. The next prime is 132921049. The reversal of 132921040 is 40129231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132921049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53097 + ... + 55543.

Almost surely, 2132921040 is an apocalyptic number.

132921040 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 132921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

132921040 is an abundant number, since it is smaller than the sum of its proper divisors (224056112).

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

132921040 is a wasteful number, since it uses less digits than its factorization.

132921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 132921040 is about 11529.1387362630. The cubic root of 132921040 is about 510.3458374538.

The spelling of 132921040 in words is "one hundred thirty-two million, nine hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2447 2716 3395 3880 4894 5432 6790 7760 9788 10864 12235 13580 17129 19576 24470 27160 34258 39152 48940 54320 68516 85645 97880 137032 171290 195760 237359 274064 342580 474718 685160 949436 1186795 1370320 1661513 1898872 2373590 3323026 3797744 4747180 6646052 8307565 9494360 13292104 16615130 18988720 26584208 33230260 66460520 132921040