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12166440 = 23351113709
BaseRepresentation
bin101110011010…
…010100101000
3211220010012220
4232122110220
511103311230
61112434040
7205261446
oct56322450
924803186
1012166440
11695a910
1240a8920
13269c9a0
141889b96
151104d10
hexb9a528

12166440 has 128 divisors (see below), whose sum is σ = 42940800. Its totient is φ = 2718720.

The previous prime is 12166439. The next prime is 12166447. The reversal of 12166440 is 4466121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12166440.

It is not an unprimeable number, because it can be changed into a prime (12166447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16806 + ... + 17514.

It is an arithmetic number, because the mean of its divisors is an integer number (335475).

Almost surely, 212166440 is an apocalyptic number.

12166440 is a gapful number since it is divisible by the number (10) 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 12166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470400).

12166440 is an abundant number, since it is smaller than the sum of its proper divisors (30774360).

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

12166440 is a wasteful number, since it uses less digits than its factorization.

12166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12166440 is about 3488.0424309346. The cubic root of 12166440 is about 229.9964712754.

The spelling of 12166440 in words is "twelve million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 709 715 780 858 1144 1320 1418 1430 1560 1716 2127 2145 2836 2860 3432 3545 4254 4290 5672 5720 7090 7799 8508 8580 9217 10635 14180 15598 17016 17160 18434 21270 23397 27651 28360 31196 36868 38995 42540 46085 46794 55302 62392 73736 77990 85080 92170 93588 101387 110604 116985 138255 155980 184340 187176 202774 221208 233970 276510 304161 311960 368680 405548 467940 506935 553020 608322 811096 935880 1013870 1106040 1216644 1520805 2027740 2433288 3041610 4055480 6083220 12166440