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131973996 = 223711233613
BaseRepresentation
bin1111101110111…
…00001101101100
3100012022222021210
413313130031230
5232241131441
621032354420
73161521560
oct767341554
9305288253
10131973996
1168550020
1238245a10
132145a12b
14137556a0
15b8bd616
hex7ddc36c

131973996 has 96 divisors (see below), whose sum is σ = 386201088. Its totient is φ = 34076160.

The previous prime is 131973991. The next prime is 131973997. The reversal of 131973996 is 699379131.

It is not an unprimeable number, because it can be changed into a prime (131973991) 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 31 ways as a sum of consecutive naturals, for example, 214986 + ... + 215598.

It is an arithmetic number, because the mean of its divisors is an integer number (4022928).

Almost surely, 2131973996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131973996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193100544).

131973996 is an abundant number, since it is smaller than the sum of its proper divisors (254227092).

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

131973996 is a wasteful number, since it uses less digits than its factorization.

131973996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its digits is 275562, while the sum is 48.

The square root of 131973996 is about 11487.9935584940. The cubic root of 131973996 is about 509.1308996453.

The spelling of 131973996 in words is "one hundred thirty-one million, nine hundred seventy-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 233 308 462 466 613 699 924 932 1226 1398 1631 1839 2452 2563 2796 3262 3678 4291 4893 5126 6524 6743 7356 7689 8582 9786 10252 12873 13486 15378 17164 17941 19572 20229 25746 26972 30756 35882 40458 47201 51492 53823 71764 80916 94402 107646 141603 142829 188804 215292 283206 285658 428487 566412 571316 856974 999803 1571119 1713948 1999606 2999409 3142238 3999212 4713357 5998818 6284476 9426714 10997833 11997636 18853428 21995666 32993499 43991332 65986998 131973996