Search a number
-
+
132580920 = 23357431487
BaseRepresentation
bin1111110011100…
…00011000111000
3100020110210211110
413321300120320
5232420042140
621053400320
73166630203
oct771603070
9306423743
10132580920
116892500a
12384990a0
1321610464
141387293a
15b98d380
hex7e70638

132580920 has 64 divisors (see below), whose sum is σ = 398545920. Its totient is φ = 35283584.

The previous prime is 132580919. The next prime is 132580933. The reversal of 132580920 is 29085231.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88417 + ... + 89903.

It is an arithmetic number, because the mean of its divisors is an integer number (6227280).

Almost surely, 2132580920 is an apocalyptic number.

132580920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132580920 is an abundant number, since it is smaller than the sum of its proper divisors (265965000).

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

132580920 is a wasteful number, since it uses less digits than its factorization.

132580920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 132580920 is about 11514.3788369152. The cubic root of 132580920 is about 509.9101725685.

The spelling of 132580920 in words is "one hundred thirty-two million, five hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 1487 2229 2972 2974 3715 4458 4461 5944 5948 7430 7435 8916 8922 11145 11896 14860 14870 17832 17844 22290 22305 29720 29740 35688 44580 44610 59480 89160 89220 178440 1104841 2209682 3314523 4419364 5524205 6629046 8838728 11048410 13258092 16572615 22096820 26516184 33145230 44193640 66290460 132580920