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261220704 = 25322711987
BaseRepresentation
bin11111001000111…
…10100101100000
3200012112101102220
433210132211200
51013333030304
641530511040
76321224253
oct1744364540
9605471386
10261220704
111244a7a88
1273595480
1342170a84
142699b09a
1517dedad9
hexf91e960

261220704 has 48 divisors (see below), whose sum is σ = 688782528. Its totient is φ = 86682752.

The previous prime is 261220697. The next prime is 261220747. The reversal of 261220704 is 407022162.

261220704 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15799 + ... + 27785.

It is an arithmetic number, because the mean of its divisors is an integer number (14349636).

Almost surely, 2261220704 is an apocalyptic number.

261220704 is a gapful number since it is divisible by the number (24) 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 261220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344391264).

261220704 is an abundant number, since it is smaller than the sum of its proper divisors (427561824).

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

261220704 is a wasteful number, since it uses less digits than its factorization.

261220704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 261220704 is about 16162.3235953250. The cubic root of 261220704 is about 639.2477359174.

Adding to 261220704 its reverse (407022162), we get a palindrome (668242866).

The spelling of 261220704 in words is "two hundred sixty-one million, two hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 11987 21792 23974 35961 47948 71922 95896 143844 191792 287688 383584 575376 1150752 2721049 5442098 8163147 10884196 16326294 21768392 32652588 43536784 65305176 87073568 130610352 261220704