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132401304 = 23347172101
BaseRepresentation
bin1111110010001…
…00100010011000
3100020010200110000
413321010202120
5232343320204
621045453000
73165251430
oct771044230
9306120400
10132401304
1168812072
1238411160
1321579789
14138272c0
15b955039
hex7e44898

132401304 has 240 divisors, whose sum is σ = 454679280. Its totient is φ = 35251200.

The previous prime is 132401239. The next prime is 132401333. The reversal of 132401304 is 403104231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1310854 + ... + 1310954.

It is an arithmetic number, because the mean of its divisors is an integer number (1894497).

Almost surely, 2132401304 is an apocalyptic number.

132401304 is a gapful number since it is divisible by the number (14) 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 132401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227339640).

132401304 is an abundant number, since it is smaller than the sum of its proper divisors (322277976).

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

132401304 is a wasteful number, since it uses less digits than its factorization.

132401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132401304 is about 11506.5765543015. The cubic root of 132401304 is about 509.6797990055.

Adding to 132401304 its reverse (403104231), we get a palindrome (535505535).

The spelling of 132401304 in words is "one hundred thirty-two million, four hundred one thousand, three hundred four".