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132520010 = 25722291181
BaseRepresentation
bin1111110011000…
…01100001001010
3100020100201021112
413321201201022
5232411120020
621052210322
73166254500
oct771414112
9306321245
10132520010
1168893277
12384699a2
13215bb80c
1413858670
15b97a2c5
hex7e6184a

132520010 has 48 divisors (see below), whose sum is σ = 278928360. Its totient is φ = 45198720.

The previous prime is 132519983. The next prime is 132520013. The reversal of 132520010 is 10025231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132273001 + 247009 = 11501^2 + 497^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (132520013) 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 23 ways as a sum of consecutive naturals, for example, 111620 + ... + 112800.

Almost surely, 2132520010 is an apocalyptic number.

132520010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132520010 is an abundant number, since it is smaller than the sum of its proper divisors (146408350).

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

132520010 is a wasteful number, since it uses less digits than its factorization.

132520010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 132520010 is about 11511.7335792660. The cubic root of 132520010 is about 509.8320733817.

Adding to 132520010 its reverse (10025231), we get a palindrome (142545241).

The spelling of 132520010 in words is "one hundred thirty-two million, five hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 229 245 458 490 1145 1181 1603 2290 2362 3206 5905 8015 8267 11221 11810 16030 16534 22442 41335 56105 57869 82670 112210 115738 270449 289345 540898 578690 1352245 1893143 2704490 3786286 9465715 13252001 18931430 26504002 66260005 132520010