Search a number
-
+
261458064 = 2433786461
BaseRepresentation
bin11111001010110…
…00100010010000
3200012222110001000
433211120202100
51013413124224
641535542000
76323233260
oct1745304220
9605873030
10261458064
1112464a34a
127368a900
1342224b1a
1426a1d7a0
1517e490c9
hexf958890

261458064 has 80 divisors (see below), whose sum is σ = 857703040. Its totient is φ = 74701440.

The previous prime is 261458023. The next prime is 261458101. The reversal of 261458064 is 460854162.

261458064 is a `hidden beast` number, since 2 + 6 + 14 + 580 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40207 + ... + 46254.

It is an arithmetic number, because the mean of its divisors is an integer number (10721288).

Almost surely, 2261458064 is an apocalyptic number.

261458064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261458064 is an abundant number, since it is smaller than the sum of its proper divisors (596244976).

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

261458064 is a wasteful number, since it uses less digits than its factorization.

261458064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86485 (or 86473 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 261458064 is about 16169.6649315934. The cubic root of 261458064 is about 639.4412962619.

The spelling of 261458064 in words is "two hundred sixty-one million, four hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 86461 172922 259383 345844 518766 605227 691688 778149 1037532 1210454 1383376 1556298 1815681 2075064 2334447 2420908 3112596 3631362 4150128 4668894 4841816 5447043 6225192 7262724 9337788 9683632 10894086 12450384 14525448 16341129 18675576 21788172 29050896 32682258 37351152 43576344 65364516 87152688 130729032 261458064