Search a number
-
+
131699712 = 210343997
BaseRepresentation
bin1111101100110…
…01010000000000
3100011211001001010
413312121100000
5232203342322
621022440520
73156300114
oct766312000
9304731033
10131699712
1168382a41
1238133140
1321392331
14136c3744
15b86720c
hex7d99400

131699712 has 88 divisors (see below), whose sum is σ = 359551456. Its totient is φ = 42835968.

The previous prime is 131699699. The next prime is 131699717. The reversal of 131699712 is 217996131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131699717) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 131598 + ... + 132594.

It is an arithmetic number, because the mean of its divisors is an integer number (4085812).

Almost surely, 2131699712 is an apocalyptic number.

131699712 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 131699712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179775728).

131699712 is an abundant number, since it is smaller than the sum of its proper divisors (227851744).

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

131699712 is an equidigital number, since it uses as much as digits as its factorization.

131699712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1045 counting only the distinct ones).

The product of its digits is 20412, while the sum is 39.

The square root of 131699712 is about 11476.0494944907. The cubic root of 131699712 is about 508.7779429543. Note that the first 3 decimals are identical.

The spelling of 131699712 in words is "one hundred thirty-one million, six hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 997 1024 1032 1376 1536 1994 2064 2752 2991 3072 3988 4128 5504 5982 7976 8256 11008 11964 15952 16512 22016 23928 31904 33024 42871 44032 47856 63808 66048 85742 95712 127616 128613 132096 171484 191424 255232 257226 342968 382848 510464 514452 685936 765696 1020928 1028904 1371872 1531392 2057808 2743744 3062784 4115616 5487488 8231232 10974976 16462464 21949952 32924928 43899904 65849856 131699712