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3866720 = 25511133
BaseRepresentation
bin1110110000000001100000
321021110010212
432300001200
51442213340
6214513252
744603144
oct16600140
97243125
103866720
112201140
121365828
13a55000
14729224
15515a65
hex3b0060

3866720 has 96 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 1297920.

The previous prime is 3866719. The next prime is 3866741. The reversal of 3866720 is 276683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297434 + ... + 297446.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

Almost surely, 23866720 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 3866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

3866720 is an abundant number, since it is smaller than the sum of its proper divisors (6928960).

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

3866720 is a wasteful number, since it uses less digits than its factorization.

3866720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3866720 is about 1966.3977217237. The cubic root of 3866720 is about 156.9570791567.

The spelling of 3866720 in words is "three million, eight hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 169 176 208 220 260 286 338 352 416 440 520 572 676 715 845 880 1040 1144 1352 1430 1690 1760 1859 2080 2197 2288 2704 2860 3380 3718 4394 4576 5408 5720 6760 7436 8788 9295 10985 11440 13520 14872 17576 18590 21970 22880 24167 27040 29744 35152 37180 43940 48334 59488 70304 74360 87880 96668 120835 148720 175760 193336 241670 297440 351520 386672 483340 773344 966680 1933360 3866720