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131289642 = 232111076197
BaseRepresentation
bin1111101001101…
…01001000101010
3100011001012112100
413310311020222
5232102232032
621005554230
73152641431
oct764651052
9304035470
10131289642
1168122940
1237b75976
132127a7a3
1413618118
15b7d597c
hex7d3522a

131289642 has 48 divisors (see below), whose sum is σ = 313271712. Its totient is φ = 39406560.

The previous prime is 131289611. The next prime is 131289661. The reversal of 131289642 is 246982131.

131289642 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 8 + 9 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131289597 and 131289606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18088 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (6526494).

Almost surely, 2131289642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131289642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156635856).

131289642 is an abundant number, since it is smaller than the sum of its proper divisors (181982070).

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

131289642 is a wasteful number, since it uses less digits than its factorization.

131289642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6320 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 131289642 is about 11458.1692254915. The cubic root of 131289642 is about 508.2493376818.

The spelling of 131289642 in words is "one hundred thirty-one million, two hundred eighty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 6197 7062 10593 12394 18591 21186 37182 55773 68167 111546 136334 204501 409002 613503 663079 1227006 1326158 1989237 3978474 5967711 7293869 11935422 14587738 21881607 43763214 65644821 131289642