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260242464 = 2539727947
BaseRepresentation
bin11111000001011…
…11110000100000
3200010200200112210
433200233300200
51013110224324
641453522120
76310011246
oct1740576040
9603620483
10260242464
1112399a019
12731a3340
1341bba731
14267c4796
1517ca8d29
hexf82fc20

260242464 has 48 divisors (see below), whose sum is σ = 690203808. Its totient is φ = 85850112.

The previous prime is 260242459. The next prime is 260242469. The reversal of 260242464 is 464242062.

It is an interprime number because it is at equal distance from previous prime (260242459) and next prime (260242469).

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

It is a super-2 number, since 2×2602424642 = 135452280137582592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260242469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4662 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (14379246).

Almost surely, 2260242464 is an apocalyptic number.

260242464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

260242464 is an abundant number, since it is smaller than the sum of its proper divisors (429961344).

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

260242464 is a wasteful number, since it uses less digits than its factorization.

260242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057 (or 28049 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 260242464 is about 16132.0322340367. The cubic root of 260242464 is about 638.4487692091.

The spelling of 260242464 in words is "two hundred sixty million, two hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 27947 55894 83841 111788 167682 223576 335364 447152 670728 894304 1341456 2682912 2710859 5421718 8132577 10843436 16265154 21686872 32530308 43373744 65060616 86747488 130121232 260242464