Search a number
-
+
132103368 = 233212714447
BaseRepresentation
bin1111101111110…
…11110011001000
3100012120112202100
413313323303020
5232304301433
621035233400
73162601005
oct767736310
9305515670
10132103368
1168629241
12382a8860
13214a3c97
141378a8ac
15b8e6b13
hex7dfbcc8

132103368 has 48 divisors (see below), whose sum is σ = 360622080. Its totient is φ = 43684704.

The previous prime is 132103351. The next prime is 132103399. The reversal of 132103368 is 863301231.

It is a happy number.

132103368 is a `hidden beast` number, since 1 + 321 + 0 + 336 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1921 + ... + 16367.

It is an arithmetic number, because the mean of its divisors is an integer number (7512960).

Almost surely, 2132103368 is an apocalyptic number.

132103368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180311040).

132103368 is an abundant number, since it is smaller than the sum of its proper divisors (228518712).

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

132103368 is a wasteful number, since it uses less digits than its factorization.

132103368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132103368 is about 11493.6229275194. The cubic root of 132103368 is about 509.2972096094.

Adding to 132103368 its reverse (863301231), we get a palindrome (995404599).

The spelling of 132103368 in words is "one hundred thirty-two million, one hundred three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 14447 28894 43341 57788 86682 115576 130023 173364 260046 346728 520092 1040184 1834769 3669538 5504307 7339076 11008614 14678152 16512921 22017228 33025842 44034456 66051684 132103368