Search a number
-
+
132131504 = 2423267233
BaseRepresentation
bin1111110000000…
…10101010110000
3100012121222100102
413320002222300
5232311202004
621040011532
73163046021
oct770025260
9305558312
10132131504
116864839a
1238300ba8
13214b3a2b
1413796c48
15b90011e
hex7e02ab0

132131504 has 60 divisors (see below), whose sum is σ = 272779416. Its totient is φ = 61982976.

The previous prime is 132131471. The next prime is 132131507. The reversal of 132131504 is 405131231.

132131504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132131507) 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, 566972 + ... + 567204.

Almost surely, 2132131504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136389708).

132131504 is an abundant number, since it is smaller than the sum of its proper divisors (140647912).

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

132131504 is a wasteful number, since it uses less digits than its factorization.

132131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 132131504 is about 11494.8468454347. The cubic root of 132131504 is about 509.3333645520. Note that the first 4 decimals are identical.

Adding to 132131504 its reverse (405131231), we get a palindrome (537262735).

The spelling of 132131504 in words is "one hundred thirty-two million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 233 268 368 466 529 536 932 1058 1072 1541 1864 2116 3082 3728 4232 5359 6164 8464 10718 12328 15611 21436 24656 31222 35443 42872 62444 70886 85744 123257 124888 141772 246514 249776 283544 359053 493028 567088 718106 986056 1436212 1972112 2872424 5744848 8258219 16516438 33032876 66065752 132131504