Search a number
-
+
1012666644 = 2233113172689
BaseRepresentation
bin111100010111000…
…001000100010100
32121120111210111000
4330113001010110
54033220313034
6244252543300
734044344613
oct7427010424
92546453430
101012666644
1147a695490
12243181b30
13131a53742
14986c787a
155dd84599
hex3c5c1114

1012666644 has 96 divisors (see below), whose sum is σ = 2874211200. Its totient is φ = 305786880.

The previous prime is 1012666637. The next prime is 1012666651. The reversal of 1012666644 is 4466662101.

It is an interprime number because it is at equal distance from previous prime (1012666637) and next prime (1012666651).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1012666599 and 1012666608.

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, 375252 + ... + 377940.

It is an arithmetic number, because the mean of its divisors is an integer number (29939700).

Almost surely, 21012666644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012666644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437105600).

1012666644 is an abundant number, since it is smaller than the sum of its proper divisors (1861544556).

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

1012666644 is a wasteful number, since it uses less digits than its factorization.

1012666644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1012666644 is about 31822.4236034907. The cubic root of 1012666644 is about 1004.2045119701.

The spelling of 1012666644 in words is "one billion, twelve million, six hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 317 396 594 634 951 1188 1268 1902 2689 2853 3487 3804 5378 5706 6974 8067 8559 10461 10756 11412 13948 16134 17118 20922 24201 29579 31383 32268 34236 41844 48402 59158 62766 72603 88737 94149 96804 118316 125532 145206 177474 188298 266211 290412 354948 376596 532422 798633 852413 1064844 1597266 1704826 2557239 3194532 3409652 5114478 7671717 9376543 10228956 15343434 18753086 23015151 28129629 30686868 37506172 46030302 56259258 84388887 92060604 112518516 168777774 253166661 337555548 506333322 1012666644