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11873412 = 22331729223
BaseRepresentation
bin101101010010…
…110010000100
3211100020021000
4231102302010
511014422122
61102253300
7202631235
oct55226204
924306230
1011873412
11677a741
123b87230
1325c94b5
14181108c
1510980ac
hexb52c84

11873412 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3580416.

The previous prime is 11873339. The next prime is 11873413. The reversal of 11873412 is 21437811.

11873412 = 333 + 343 + ... + 833.

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

It is not an unprimeable number, because it can be changed into a prime (11873413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53133 + ... + 53355.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 211873412 is an apocalyptic number.

11873412 is a gapful number since it is divisible by the number (12) 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 11873412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11873412 is an abundant number, since it is smaller than the sum of its proper divisors (21995388).

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

11873412 is a wasteful number, since it uses less digits than its factorization.

11873412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 11873412 is about 3445.7817690620. The cubic root of 11873412 is about 228.1349616467.

The spelling of 11873412 in words is "eleven million, eight hundred seventy-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 223 261 306 348 446 459 493 522 612 669 783 892 918 986 1044 1338 1479 1566 1836 1972 2007 2676 2958 3132 3791 4014 4437 5916 6021 6467 7582 8028 8874 11373 12042 12934 13311 15164 17748 19401 22746 24084 25868 26622 34119 38802 45492 53244 58203 68238 77604 102357 109939 116406 136476 174609 204714 219878 232812 329817 349218 409428 439756 659634 698436 989451 1319268 1978902 2968353 3957804 5936706 11873412