Search a number
-
+
132279400 = 23521160127
BaseRepresentation
bin1111110001001…
…10110001101000
3100012220111020001
413320212301220
5232330420100
621043112344
73164233141
oct770466150
9305814201
10132279400
1168739520
12383726b4
1321536146
14137d4ac8
15b92dd6a
hex7e26c68

132279400 has 48 divisors (see below), whose sum is σ = 335514240. Its totient is φ = 48100800.

The previous prime is 132279383. The next prime is 132279409. The reversal of 132279400 is 4972231.

It is not an unprimeable number, because it can be changed into a prime (132279409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27864 + ... + 32263.

It is an arithmetic number, because the mean of its divisors is an integer number (6989880).

Almost surely, 2132279400 is an apocalyptic number.

132279400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132279400 is an abundant number, since it is smaller than the sum of its proper divisors (203234840).

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

132279400 is a wasteful number, since it uses less digits than its factorization.

132279400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60154 (or 60145 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 132279400 is about 11501.2781898361. The cubic root of 132279400 is about 509.5233275238.

The spelling of 132279400 in words is "one hundred thirty-two million, two hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 60127 120254 240508 300635 481016 601270 661397 1202540 1322794 1503175 2405080 2645588 3006350 3306985 5291176 6012700 6613970 12025400 13227940 16534925 26455880 33069850 66139700 132279400