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132901680 = 2435553757
BaseRepresentation
bin1111110101111…
…10101100110000
3100021002002211110
413322332230300
5233010323210
621104313320
73202434312
oct772765460
9307062743
10132901680
1169023aaa
1238612840
13216c3462
14139177b2
15ba03420
hex7ebeb30

132901680 has 40 divisors (see below), whose sum is σ = 411995952. Its totient is φ = 35440384.

The previous prime is 132901667. The next prime is 132901697. The reversal of 132901680 is 86109231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 276639 + ... + 277118.

Almost surely, 2132901680 is an apocalyptic number.

132901680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132901680 is an abundant number, since it is smaller than the sum of its proper divisors (279094272).

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

132901680 is a wasteful number, since it uses less digits than its factorization.

132901680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553773 (or 553767 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 132901680 is about 11528.2990939687. The cubic root of 132901680 is about 510.3210588957.

The spelling of 132901680 in words is "one hundred thirty-two million, nine hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 553757 1107514 1661271 2215028 2768785 3322542 4430056 5537570 6645084 8306355 8860112 11075140 13290168 16612710 22150280 26580336 33225420 44300560 66450840 132901680