Search a number
-
+
132550440 = 233511100417
BaseRepresentation
bin1111110011010…
…00111100101000
3100020102021000120
413321220330220
5232413103230
621053003240
73166442301
oct771507450
9306367016
10132550440
1168904120
1238483520
13215cc619
14138657a8
15b984310
hex7e68f28

132550440 has 64 divisors (see below), whose sum is σ = 433805760. Its totient is φ = 32133120.

The previous prime is 132550433. The next prime is 132550447. The reversal of 132550440 is 44055231.

It is an interprime number because it is at equal distance from previous prime (132550433) and next prime (132550447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 132550440.

It is not an unprimeable number, because it can be changed into a prime (132550447) 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, 48889 + ... + 51528.

It is an arithmetic number, because the mean of its divisors is an integer number (6778215).

Almost surely, 2132550440 is an apocalyptic number.

132550440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132550440 is an abundant number, since it is smaller than the sum of its proper divisors (301255320).

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

132550440 is a wasteful number, since it uses less digits than its factorization.

132550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100442 (or 100438 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 132550440 is about 11513.0551983390. The cubic root of 132550440 is about 509.8710939106.

The spelling of 132550440 in words is "one hundred thirty-two million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 100417 200834 301251 401668 502085 602502 803336 1004170 1104587 1205004 1506255 2008340 2209174 2410008 3012510 3313761 4016680 4418348 5522935 6025020 6627522 8836696 11045870 12050040 13255044 16568805 22091740 26510088 33137610 44183480 66275220 132550440