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2260463946 = 2313612332039
BaseRepresentation
bin1000011010111011…
…1111000101001010
312211112110110120220
42012232333011022
514112134321241
61012145330510
7110005424616
oct20656770512
95745413526
102260463946
11a5aa78024
12531036a36
132a0411840
141762da346
15d36b2166
hex86bbf14a

2260463946 has 64 divisors (see below), whose sum is σ = 4972181760. Its totient is φ = 680855040.

The previous prime is 2260463927. The next prime is 2260463971. The reversal of 2260463946 is 6493640622.

It is a junction number, because it is equal to n+sod(n) for n = 2260463898 and 2260463907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107595 + ... + 1109633.

It is an arithmetic number, because the mean of its divisors is an integer number (77690340).

Almost surely, 22260463946 is an apocalyptic number.

2260463946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260463946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880).

2260463946 is an abundant number, since it is smaller than the sum of its proper divisors (2711717814).

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

2260463946 is a wasteful number, since it uses less digits than its factorization.

2260463946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351.

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 2260463946 is about 47544.3366343458. The cubic root of 2260463946 is about 1312.3989114706.

The spelling of 2260463946 in words is "two billion, two hundred sixty million, four hundred sixty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 233 366 466 699 793 1398 1586 2039 2379 3029 4078 4758 6058 6117 9087 12234 14213 18174 26507 28426 42639 53014 79521 85278 124379 159042 184769 248758 369538 373137 475087 554307 746274 950174 1108614 1425261 1616927 2850522 3233854 4850781 6176131 9701562 12352262 18528393 28980307 37056786 57960614 86940921 173881842 376743991 753487982 1130231973 2260463946