Search a number
-
+
132806607520 = 2552333562409
BaseRepresentation
bin111101110101111100…
…1000000001010100000
3110200210112001200100111
41323223321000022200
54133441442420040
6141002134301104
712411033352366
oct1735371001240
9420715050314
10132806607520
115136095a984
12218a47b7794
13c6a64a6442
1465dc12d636
1536c4455dea
hex1eebe402a0

132806607520 has 48 divisors (see below), whose sum is σ = 315102289320. Its totient is φ = 52894633984.

The previous prime is 132806607473. The next prime is 132806607523. The reversal of 132806607520 is 25706608231.

It can be written as a sum of positive squares in 4 ways, for example, as 69719233936 + 63087373584 = 264044^2 + 251172^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132806607523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743925 + ... + 1818484.

Almost surely, 2132806607520 is an apocalyptic number.

132806607520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132806607520 is an abundant number, since it is smaller than the sum of its proper divisors (182295681800).

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

132806607520 is a wasteful number, since it uses less digits than its factorization.

132806607520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562657 (or 3562649 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 132806607520 in words is "one hundred thirty-two billion, eight hundred six million, six hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1864 2330 3728 4660 7456 9320 18640 37280 3562409 7124818 14249636 17812045 28499272 35624090 56998544 71248180 113997088 142496360 284992720 569985440 830041297 1660082594 3320165188 4150206485 6640330376 8300412970 13280660752 16600825940 26561321504 33201651880 66403303760 132806607520