Search a number
-
+
132123330 = 23256721911
BaseRepresentation
bin1111110000000…
…00101011000010
3100012121120010200
413320000223002
5232310421310
621035510030
73163013133
oct770005302
9305546120
10132123330
1168642239
12382b8316
13214b00b1
1413793c8a
15b8ec9c0
hex7e00ac2

132123330 has 48 divisors (see below), whose sum is σ = 348663744. Its totient is φ = 34705440.

The previous prime is 132123287. The next prime is 132123367. The reversal of 132123330 is 33321231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4926 + ... + 16985.

It is an arithmetic number, because the mean of its divisors is an integer number (7263828).

Almost surely, 2132123330 is an apocalyptic number.

132123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132123330 is an abundant number, since it is smaller than the sum of its proper divisors (216540414).

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

132123330 is a wasteful number, since it uses less digits than its factorization.

132123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21991 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132123330 is about 11494.4912893090. The cubic root of 132123330 is about 509.3228614379.

Adding to 132123330 its reverse (33321231), we get a palindrome (165444561).

The spelling of 132123330 in words is "one hundred thirty-two million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 21911 43822 65733 109555 131466 197199 219110 328665 394398 657330 985995 1468037 1971990 2936074 4404111 7340185 8808222 13212333 14680370 22020555 26424666 44041110 66061665 132123330