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2663234040 = 233559389967
BaseRepresentation
bin1001111010111101…
…1011100111111000
320212121100022021210
42132233123213320
520423241442130
61120134203120
7122666054505
oct23657334770
96777308253
102663234040
111147365175
12623ab34a0
133359b2c3c
141b39c24ac
15108c215b0
hex9ebdb9f8

2663234040 has 128 divisors (see below), whose sum is σ = 8154432000. Its totient is φ = 695643648.

The previous prime is 2663234039. The next prime is 2663234117. The reversal of 2663234040 is 404323662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2663233989 and 2663234007.

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, 2753637 + ... + 2754603.

It is an arithmetic number, because the mean of its divisors is an integer number (63706500).

Almost surely, 22663234040 is an apocalyptic number.

2663234040 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 2663234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077216000).

2663234040 is an abundant number, since it is smaller than the sum of its proper divisors (5491197960).

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

2663234040 is a wasteful number, since it uses less digits than its factorization.

2663234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2663234040 is about 51606.5309820375. The cubic root of 2663234040 is about 1386.1272806115.

The spelling of 2663234040 in words is "two billion, six hundred sixty-three million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 389 472 590 708 778 885 967 1167 1180 1416 1556 1770 1934 1945 2334 2360 2901 3112 3540 3868 3890 4668 4835 5802 5835 7080 7736 7780 9336 9670 11604 11670 14505 15560 19340 22951 23208 23340 29010 38680 45902 46680 57053 58020 68853 91804 114106 114755 116040 137706 171159 183608 228212 229510 275412 285265 342318 344265 376163 456424 459020 550824 570530 684636 688530 752326 855795 918040 1128489 1141060 1369272 1377060 1504652 1711590 1880815 2256978 2282120 2754120 3009304 3423180 3761630 4513956 5642445 6846360 7523260 9027912 11284890 15046520 22193617 22569780 44387234 45139560 66580851 88774468 110968085 133161702 177548936 221936170 266323404 332904255 443872340 532646808 665808510 887744680 1331617020 2663234040