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181063936 = 28294
BaseRepresentation
bin10101100101011…
…01000100000000
3110121201000000201
422302231010000
5332323021221
625544454544
74326006124
oct1262550400
9417630021
10181063936
119322a019
125077a454
132b687231
141a093584
1510d68891
hexacad100

181063936 has 45 divisors (see below), whose sum is σ = 374328451. Its totient is φ = 87410176.

The previous prime is 181063879. The next prime is 181063973. The reversal of 181063936 is 639360181.

The square root of 181063936 is 13456.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 430336 + 180633600 = 656^2 + 13440^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 181063895 and 181063904.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 6243570 + ... + 6243598.

Almost surely, 2181063936 is an apocalyptic number.

181063936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181063936 is the 13456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181063936

181063936 is an abundant number, since it is smaller than the sum of its proper divisors (193264515).

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

181063936 is an frugal number, since it uses more digits than its factorization.

181063936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The cubic root of 181063936 is about 565.7318794845.

The spelling of 181063936 in words is "one hundred eighty-one million, sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3364 3712 6728 7424 13456 24389 26912 48778 53824 97556 107648 195112 215296 390224 707281 780448 1414562 1560896 2829124 3121792 5658248 6243584 11316496 22632992 45265984 90531968 181063936