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132026720 = 2557117881
BaseRepresentation
bin1111101111010…
…01000101100000
3100012102122121112
413313221011200
5232244323340
621033442452
73162131360
oct767510540
9305378545
10132026720
11685866a1
1238270428
1321478127
141376a9a0
15b8ce065
hex7de9160

132026720 has 48 divisors (see below), whose sum is σ = 356475168. Its totient is φ = 45265920.

The previous prime is 132026711. The next prime is 132026723. The reversal of 132026720 is 27620231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132026723) 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, 57821 + ... + 60060.

It is an arithmetic number, because the mean of its divisors is an integer number (7426566).

Almost surely, 2132026720 is an apocalyptic number.

132026720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132026720 is an abundant number, since it is smaller than the sum of its proper divisors (224448448).

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

132026720 is a wasteful number, since it uses less digits than its factorization.

132026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117903 (or 117895 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 132026720 is about 11490.2880729771. The cubic root of 132026720 is about 509.1986903831.

Adding to 132026720 its reverse (27620231), we get a palindrome (159646951).

The spelling of 132026720 in words is "one hundred thirty-two million, twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 117881 235762 471524 589405 825167 943048 1178810 1650334 1886096 2357620 3300668 3772192 4125835 4715240 6601336 8251670 9430480 13202672 16503340 18860960 26405344 33006680 66013360 132026720