Search a number
-
+
1246644 = 223371797
BaseRepresentation
bin100110000010110110100
32100100002000
410300112310
5304343034
642415300
713411350
oct4602664
92310060
101246644
11781693
12501530
13348579
14246460
15199599
hex1305b4

1246644 has 96 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 331776.

The previous prime is 1246639. The next prime is 1246667. The reversal of 1246644 is 4466421.

1246644 is a `hidden beast` number, since 12 + 4 + 6 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 12804 + ... + 12900.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

21246644 is an apocalyptic number.

1246644 is a gapful number since it is divisible by the number (14) 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 1246644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1246644 is an abundant number, since it is smaller than the sum of its proper divisors (2704716).

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

1246644 is a wasteful number, since it uses less digits than its factorization.

1246644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1246644 is about 1116.5321311991. The cubic root of 1246644 is about 107.6252443268.

It can be divided in two parts, 12 and 46644, that added together give a 6-th power (46656 = 66).

The spelling of 1246644 in words is "one million, two hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 97 102 108 119 126 153 189 194 204 238 252 291 306 357 378 388 459 476 582 612 679 714 756 873 918 1071 1164 1358 1428 1649 1746 1836 2037 2142 2619 2716 3213 3298 3492 4074 4284 4947 5238 6111 6426 6596 8148 9894 10476 11543 12222 12852 14841 18333 19788 23086 24444 29682 34629 36666 44523 46172 59364 69258 73332 89046 103887 138516 178092 207774 311661 415548 623322 1246644