Search a number
-
+
132705180 = 22325737251
BaseRepresentation
bin1111110100011…
…10101110011100
3100020201010021200
413322032232130
5232433031210
621100155500
73200655366
oct772165634
9306633250
10132705180
11689aa403
1238538b90
1321654b9a
14138a5d36
15b9b50c0
hex7e8eb9c

132705180 has 36 divisors (see below), whose sum is σ = 402539592. Its totient is φ = 35388000.

The previous prime is 132705173. The next prime is 132705191. The reversal of 132705180 is 81507231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1327051802 = 35221329597664800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368446 + ... + 368805.

Almost surely, 2132705180 is an apocalyptic number.

132705180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132705180 is an abundant number, since it is smaller than the sum of its proper divisors (269834412).

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

132705180 is a wasteful number, since it uses less digits than its factorization.

132705180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737266 (or 737261 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 132705180 is about 11519.7734352721. The cubic root of 132705180 is about 510.0694253816.

The spelling of 132705180 in words is "one hundred thirty-two million, seven hundred five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 737251 1474502 2211753 2949004 3686255 4423506 6635259 7372510 8847012 11058765 13270518 14745020 22117530 26541036 33176295 44235060 66352590 132705180