Search a number
-
+
131232520 = 23517593271
BaseRepresentation
bin1111101001001…
…11001100001000
3100010221022011201
413310213030020
5232043420040
621004433544
73152313046
oct764471410
9303838151
10131232520
1168093a31
1237b488b4
132125a7a3
1413601396
15b7c3a9a
hex7d27308

131232520 has 64 divisors (see below), whose sum is σ = 318038400. Its totient is φ = 48552960.

The previous prime is 131232499. The next prime is 131232527. The reversal of 131232520 is 25232131.

It is not an unprimeable number, because it can be changed into a prime (131232527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38485 + ... + 41755.

It is an arithmetic number, because the mean of its divisors is an integer number (4969350).

Almost surely, 2131232520 is an apocalyptic number.

131232520 is a gapful number since it is divisible by the number (10) 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 131232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159019200).

131232520 is an abundant number, since it is smaller than the sum of its proper divisors (186805880).

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

131232520 is a wasteful number, since it uses less digits than its factorization.

131232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 131232520 is about 11455.6763222430. The cubic root of 131232520 is about 508.1756166333.

Adding to 131232520 its reverse (25232131), we get a palindrome (156464651).

The spelling of 131232520 in words is "one hundred thirty-one million, two hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 3271 4012 5015 6542 8024 10030 13084 16355 20060 26168 32710 40120 55607 65420 111214 130840 192989 222428 278035 385978 444856 556070 771956 964945 1112140 1543912 1929890 2224280 3280813 3859780 6561626 7719560 13123252 16404065 26246504 32808130 65616260 131232520