Search a number
-
+
132667488 = 25322771663
BaseRepresentation
bin1111110100001…
…01100001100000
3100020122012120200
413322011201200
5232430324423
621055305200
73200440452
oct772054140
9306565520
10132667488
1168984058
123851b200
1321640995
14138962d2
15b9a8d43
hex7e85860

132667488 has 72 divisors (see below), whose sum is σ = 378862848. Its totient is φ = 44036352.

The previous prime is 132667477. The next prime is 132667517. The reversal of 132667488 is 884766231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78945 + ... + 80607.

It is an arithmetic number, because the mean of its divisors is an integer number (5261984).

Almost surely, 2132667488 is an apocalyptic number.

132667488 is a gapful number since it is divisible by the number (18) 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 132667488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189431424).

132667488 is an abundant number, since it is smaller than the sum of its proper divisors (246195360).

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

132667488 is a wasteful number, since it uses less digits than its factorization.

132667488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1945 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 132667488 is about 11518.1373494155. The cubic root of 132667488 is about 510.0211294591.

The spelling of 132667488 in words is "one hundred thirty-two million, six hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 277 288 554 831 1108 1662 1663 2216 2493 3324 3326 4432 4986 4989 6648 6652 8864 9972 9978 13296 13304 14967 19944 19956 26592 26608 29934 39888 39912 53216 59868 79776 79824 119736 159648 239472 460651 478944 921302 1381953 1842604 2763906 3685208 4145859 5527812 7370416 8291718 11055624 14740832 16583436 22111248 33166872 44222496 66333744 132667488