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2609069740 = 2251923111657
BaseRepresentation
bin1001101110000011…
…0011111010101100
320201211102110211121
42123200303322230
520320410212430
61110521230324
7121440504214
oct23340637254
96654373747
102609069740
11111982a792
126099323a4
133276ca264
141aa723244
151040c2a7a
hex9b833eac

2609069740 has 72 divisors (see below), whose sum is σ = 5969642112. Its totient is φ = 956724480.

The previous prime is 2609069663. The next prime is 2609069761. The reversal of 2609069740 is 479609062.

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 23 ways as a sum of consecutive naturals, for example, 217992 + ... + 229648.

It is an arithmetic number, because the mean of its divisors is an integer number (82911696).

Almost surely, 22609069740 is an apocalyptic number.

2609069740 is a gapful number since it is divisible by the number (20) 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 2609069740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984821056).

2609069740 is an abundant number, since it is smaller than the sum of its proper divisors (3360572372).

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

2609069740 is a wasteful number, since it uses less digits than its factorization.

2609069740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735 (or 11714 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 2609069740 is about 51079.0538283551. The cubic root of 2609069740 is about 1376.6659239235.

The spelling of 2609069740 in words is "two billion, six hundred nine million, sixty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 361 380 589 620 722 1178 1444 1805 2356 2945 3610 5890 7220 11191 11657 11780 22382 23314 44764 46628 55955 58285 111910 116570 221483 223820 233140 361367 442966 722734 885932 1107415 1445468 1806835 2214830 3613670 4208177 4429660 6865973 7227340 8416354 13731946 16832708 21040885 27463892 34329865 42081770 68659730 84163540 130453487 137319460 260906974 521813948 652267435 1304534870 2609069740