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261200772 = 223272148073
BaseRepresentation
bin11111001000110…
…01101110000100
3200012111101002200
433210121232010
51013331411042
641530234500
76321112200
oct1744315604
9605441080
10261200772
11124494008
1273585a30
1342164991
1426993b00
1517de7c4c
hexf919b84

261200772 has 54 divisors (see below), whose sum is σ = 768059838. Its totient is φ = 74628288.

The previous prime is 261200759. The next prime is 261200783. The reversal of 261200772 is 277002162.

261200772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 166255236 + 94945536 = 12894^2 + 9744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72273 + ... + 75800.

Almost surely, 2261200772 is an apocalyptic number.

It is an amenable number.

261200772 is an abundant number, since it is smaller than the sum of its proper divisors (506859066).

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

261200772 is a wasteful number, since it uses less digits than its factorization.

261200772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148097 (or 148085 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 261200772 is about 16161.7069643030. The cubic root of 261200772 is about 639.2314766014.

The spelling of 261200772 in words is "two hundred sixty-one million, two hundred thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 148073 296146 444219 592292 888438 1036511 1332657 1776876 2073022 2665314 3109533 4146044 5330628 6219066 7255577 9328599 12438132 14511154 18657198 21766731 29022308 37314396 43533462 65300193 87066924 130600386 261200772