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132019804 = 22743472333
BaseRepresentation
bin1111101111001…
…11011001011100
3100012102022010101
413313213121130
5232244113204
621033350444
73162102250
oct767473134
9305368111
10132019804
1168581484
1238268424
1321474c37
1413768260
15b8cbea4
hex7de765c

132019804 has 48 divisors (see below), whose sum is σ = 276046848. Its totient is φ = 54065088.

The previous prime is 132019801. The next prime is 132019817. The reversal of 132019804 is 408910231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132019801) 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, 55422 + ... + 57754.

It is an arithmetic number, because the mean of its divisors is an integer number (5750976).

Almost surely, 2132019804 is an apocalyptic number.

132019804 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 132019804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138023424).

132019804 is an abundant number, since it is smaller than the sum of its proper divisors (144027044).

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

132019804 is a wasteful number, since it uses less digits than its factorization.

132019804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 132019804 is about 11489.9871192269. The cubic root of 132019804 is about 509.1897990526.

It can be divided in two parts, 13201 and 9804, that added together give a triangular number (23005 = T214).

The spelling of 132019804 in words is "one hundred thirty-two million, nineteen thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 43 47 86 94 172 188 301 329 602 658 1204 1316 2021 2333 4042 4666 8084 9332 14147 16331 28294 32662 56588 65324 100319 109651 200638 219302 401276 438604 702233 767557 1404466 1535114 2808932 3070228 4714993 9429986 18859972 33004951 66009902 132019804