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3086720 = 27571353
BaseRepresentation
bin1011110001100110000000
312210211011222
423301212000
51242233340
6150054212
735144120
oct13614600
95724158
103086720
11181910a
12104a368
13840c80
145a4c80
1540e8b5
hex2f1980

3086720 has 128 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 958464.

The previous prime is 3086717. The next prime is 3086729. The reversal of 3086720 is 276803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3086720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58214 + ... + 58266.

Almost surely, 23086720 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 3086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

3086720 is an abundant number, since it is smaller than the sum of its proper divisors (6166720).

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

3086720 is a wasteful number, since it uses less digits than its factorization.

3086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3086720 is about 1756.9063720073. The cubic root of 3086720 is about 145.6014651867.

The spelling of 3086720 in words is "three million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 53 56 64 65 70 80 91 104 106 112 128 130 140 160 182 208 212 224 260 265 280 320 364 371 416 424 448 455 520 530 560 640 689 728 742 832 848 896 910 1040 1060 1120 1378 1456 1484 1664 1696 1820 1855 2080 2120 2240 2756 2912 2968 3392 3445 3640 3710 4160 4240 4480 4823 5512 5824 5936 6784 6890 7280 7420 8320 8480 9646 11024 11648 11872 13780 14560 14840 16960 19292 22048 23744 24115 27560 29120 29680 33920 38584 44096 47488 48230 55120 58240 59360 77168 88192 96460 110240 118720 154336 192920 220480 237440 308672 385840 440960 617344 771680 1543360 3086720