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260542464 = 2123713233
BaseRepresentation
bin11111000011110…
…01000000000000
3200011020221001220
433201321000000
51013144324324
641504155040
76312401010
oct1741710000
9604227056
10260542464
11124084456
1273308a80
1341c94150
1426861c40
1517d17b79
hexf879000

260542464 has 208 divisors, whose sum is σ = 858678912. Its totient is φ = 68419584.

The previous prime is 260542439. The next prime is 260542481. The reversal of 260542464 is 464245062.

It is a tau number, because it is divible by the number of its divisors (208).

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, 1118092 + ... + 1118324.

It is an arithmetic number, because the mean of its divisors is an integer number (4128264).

Almost surely, 2260542464 is an apocalyptic number.

260542464 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 260542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429339456).

260542464 is an abundant number, since it is smaller than the sum of its proper divisors (598136448).

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

260542464 is a wasteful number, since it uses less digits than its factorization.

260542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 260542464 is about 16141.3278264212. The cubic root of 260542464 is about 638.6940034372.

The spelling of 260542464 in words is "two hundred sixty million, five hundred forty-two thousand, four hundred sixty-four".