Search a number
-
+
132114430 = 25729151431
BaseRepresentation
bin1111101111111…
…10011111111110
3100012121002221001
413313332133332
5232310130210
621035400514
73162645160
oct767763776
9305532831
10132114430
1168636588
12382b313a
13214a9026
1413790930
15b8ea03a
hex7dfe7fe

132114430 has 64 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 43344000.

The previous prime is 132114421. The next prime is 132114449. The reversal of 132114430 is 34411231.

It is a super-2 number, since 2×1321144302 = 34908445228449800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132114398 and 132114407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306315 + ... + 306745.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2132114430 is an apocalyptic number.

132114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132114430 is an abundant number, since it is smaller than the sum of its proper divisors (151554050).

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

132114430 is a wasteful number, since it uses less digits than its factorization.

132114430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132114430 is about 11494.1041408193. The cubic root of 132114430 is about 509.3114249635.

Adding to 132114430 its reverse (34411231), we get a palindrome (166525661).

It can be divided in two parts, 1321 and 14430, that added together give a palindrome (15751).

The spelling of 132114430 in words is "one hundred thirty-two million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 151 203 290 302 406 431 755 862 1015 1057 1510 2030 2114 2155 3017 4310 4379 5285 6034 8758 10570 12499 15085 21895 24998 30170 30653 43790 61306 62495 65081 87493 124990 130162 153265 174986 306530 325405 437465 455567 650810 874930 911134 1887349 2277835 3774698 4555670 9436745 13211443 18873490 26422886 66057215 132114430