Search a number
-
+
132014880 = 2533530559
BaseRepresentation
bin1111101111001…
…10001100100000
3100012102001101000
413313212030200
5232243434010
621033312000
73162052014
oct767461440
9305361330
10132014880
1168578808
1238265600
132147291a
1413766544
15b8ca7c0
hex7de6320

132014880 has 96 divisors (see below), whose sum is σ = 462067200. Its totient is φ = 35202816.

The previous prime is 132014821. The next prime is 132014881. The reversal of 132014880 is 88410231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132014881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10960 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (4813200).

Almost surely, 2132014880 is an apocalyptic number.

132014880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014880 is an abundant number, since it is smaller than the sum of its proper divisors (330052320).

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

132014880 is a wasteful number, since it uses less digits than its factorization.

132014880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30583 (or 30569 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132014880 is about 11489.7728437076. The cubic root of 132014880 is about 509.1834684828.

It can be divided in two parts, 13201 and 4880, that added together give a palindrome (18081).

The spelling of 132014880 in words is "one hundred thirty-two million, fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 30559 61118 91677 122236 152795 183354 244472 275031 305590 366708 458385 488944 550062 611180 733416 825093 916770 977888 1100124 1222360 1375155 1466832 1650186 1833540 2200248 2444720 2750310 2933664 3300372 3667080 4125465 4400496 4889440 5500620 6600744 7334160 8250930 8800992 11001240 13201488 14668320 16501860 22002480 26402976 33003720 44004960 66007440 132014880