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1296706740 = 223575715407
BaseRepresentation
bin100110101001010…
…0010110010110100
310100100222112020120
41031102202302310
510123424103430
6332400531540
744063553060
oct11522426264
93310875216
101296706740
11605a58a6a
12302320bb0
13178853cc4
14c4304aa0
1578c8e610
hex4d4a2cb4

1296706740 has 96 divisors (see below), whose sum is σ = 4157497344. Its totient is φ = 295816320.

The previous prime is 1296706721. The next prime is 1296706769. The reversal of 1296706740 is 476076921.

It is a super-2 number, since 2×12967067402 = 3362896739122855200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1296706692 and 1296706701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237117 + ... + 242523.

It is an arithmetic number, because the mean of its divisors is an integer number (43307264).

Almost surely, 21296706740 is an apocalyptic number.

1296706740 is a gapful number since it is divisible by the number (10) 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 1296706740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078748672).

1296706740 is an abundant number, since it is smaller than the sum of its proper divisors (2860790604).

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

1296706740 is a wasteful number, since it uses less digits than its factorization.

1296706740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 1296706740 is about 36009.8144954955. The cubic root of 1296706740 is about 1090.4705036063.

The spelling of 1296706740 in words is "one billion, two hundred ninety-six million, seven hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 571 1142 1713 2284 2855 3426 3997 5407 5710 6852 7994 8565 10814 11420 11991 15988 16221 17130 19985 21628 23982 27035 32442 34260 37849 39970 47964 54070 59955 64884 75698 79940 81105 108140 113547 119910 151396 162210 189245 227094 239820 324420 378490 454188 567735 756980 1135470 2270940 3087397 6174794 9262191 12349588 15436985 18524382 21611779 30873970 37048764 43223558 46310955 61747940 64835337 86447116 92621910 108058895 129670674 185243820 216117790 259341348 324176685 432235580 648353370 1296706740