Search a number
-
+
132140352 = 263311492
BaseRepresentation
bin1111110000001…
…00110101000000
3100012122102111010
413320010311000
5232311442402
621040120520
73163113561
oct770046500
9305572433
10132140352
1168654003
1238306140
13214b7a76
141379a168
15b902a6c
hex7e04d40

132140352 has 84 divisors (see below), whose sum is σ = 363337856. Its totient is φ = 42339840.

The previous prime is 132140329. The next prime is 132140369. The reversal of 132140352 is 253041231.

It is a super-2 number, since 2×1321403522 = 34922145253367808, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886774 + ... + 886922.

Almost surely, 2132140352 is an apocalyptic number.

132140352 is a gapful number since it is divisible by the number (12) 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 132140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181668928).

132140352 is an abundant number, since it is smaller than the sum of its proper divisors (231197504).

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

132140352 is an equidigital number, since it uses as much as digits as its factorization.

132140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132140352 is about 11495.2317071036. The cubic root of 132140352 is about 509.3447332286.

Adding to 132140352 its reverse (253041231), we get a palindrome (385181583).

The spelling of 132140352 in words is "one hundred thirty-two million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 149 186 192 248 298 372 447 496 596 744 894 992 1192 1488 1788 1984 2384 2976 3576 4619 4768 5952 7152 9238 9536 13857 14304 18476 22201 27714 28608 36952 44402 55428 66603 73904 88804 110856 133206 147808 177608 221712 266412 295616 355216 443424 532824 688231 710432 886848 1065648 1376462 1420864 2064693 2131296 2752924 4129386 4262592 5505848 8258772 11011696 16517544 22023392 33035088 44046784 66070176 132140352