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1412000010 = 2325194331907
BaseRepresentation
bin101010000101001…
…0110100100001010
310122101221000212200
41110022112210022
510342433000020
6352040021030
746663542051
oct12412264412
93571830780
101412000010
11665045563
12334a61776
131966c0785
14d5757398
1583e65590
hex5429690a

1412000010 has 96 divisors (see below), whose sum is σ = 3875376960. Its totient is φ = 355705344.

The previous prime is 1412000003. The next prime is 1412000017. The reversal of 1412000010 is 100002141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1412000003) and next prime (1412000017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1411999956 and 1412000001.

It is not an unprimeable number, because it can be changed into a prime (1412000017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739477 + ... + 741383.

It is an arithmetic number, because the mean of its divisors is an integer number (40368510).

Almost surely, 21412000010 is an apocalyptic number.

1412000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937688480).

1412000010 is an abundant number, since it is smaller than the sum of its proper divisors (2463376950).

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

1412000010 is a wasteful number, since it uses less digits than its factorization.

1412000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1412000010 is about 37576.5885891734. The cubic root of 1412000010 is about 1121.8761099349.

Adding to 1412000010 its reverse (100002141), we get a palindrome (1512002151).

The spelling of 1412000010 in words is "one billion, four hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 433 570 855 866 1299 1710 1907 2165 2598 3814 3897 4330 5721 6495 7794 8227 9535 11442 12990 16454 17163 19070 19485 24681 28605 34326 36233 38970 41135 49362 57210 72466 74043 82270 85815 108699 123405 148086 171630 181165 217398 246810 326097 362330 370215 543495 652194 740430 825731 1086990 1630485 1651462 2477193 3260970 4128655 4954386 7431579 8257310 12385965 14863158 15688889 24771930 31377778 37157895 47066667 74315790 78444445 94133334 141200001 156888890 235333335 282400002 470666670 706000005 1412000010