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261994096 = 247131031747
BaseRepresentation
bin11111001110110…
…11011001110000
3200020222200100001
433213123121300
51014032302341
641555235344
76330625120
oct1747333160
9606880301
10261994096
11124986051
12738a8b54
1342381ac0
1426b1cc80
1518002d31
hexf9db670

261994096 has 80 divisors (see below), whose sum is σ = 631181824. Its totient is φ = 102580992.

The previous prime is 261994087. The next prime is 261994111. The reversal of 261994096 is 690499162.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149095 + ... + 150841.

Almost surely, 2261994096 is an apocalyptic number.

261994096 is a gapful number since it is divisible by the number (26) 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 261994096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315590912).

261994096 is an abundant number, since it is smaller than the sum of its proper divisors (369187728).

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

261994096 is a wasteful number, since it uses less digits than its factorization.

261994096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 261994096 is about 16186.2316800421. The cubic root of 261994096 is about 639.8779845518.

The spelling of 261994096 in words is "two hundred sixty-one million, nine hundred ninety-four thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 182 206 208 364 412 721 728 824 1339 1442 1456 1648 1747 2678 2884 3494 5356 5768 6988 9373 10712 11536 12229 13976 18746 21424 22711 24458 27952 37492 45422 48916 74984 90844 97832 149968 158977 179941 181688 195664 317954 359882 363376 635908 719764 1259587 1271816 1439528 2339233 2519174 2543632 2879056 4678466 5038348 9356932 10076696 16374631 18713864 20153392 32749262 37427728 65498524 130997048 261994096