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3072720 = 243573159
BaseRepresentation
bin1011101110001011010000
312210002222110
423232023100
51241311340
6145505320
735055240
oct13561320
95702873
103072720
111809642
121042240
138377a1
1459db20
1540a680
hex2ee2d0

3072720 has 160 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 668160.

The previous prime is 3072709. The next prime is 3072749. The reversal of 3072720 is 272703.

3072720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 52051 + ... + 52109.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

Almost surely, 23072720 is an apocalyptic number.

3072720 is a gapful number since it is divisible by the number (30) 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 3072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

3072720 is an abundant number, since it is smaller than the sum of its proper divisors (8355120).

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

3072720 is a wasteful number, since it uses less digits than its factorization.

3072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 3072720 is about 1752.9175679421. The cubic root of 3072720 is about 145.3810035431.

The spelling of 3072720 in words is "three million, seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 59 60 62 70 80 84 93 105 112 118 120 124 140 155 168 177 186 210 217 236 240 248 280 295 310 336 354 372 413 420 434 465 472 496 560 590 620 651 708 744 826 840 868 885 930 944 1085 1180 1239 1240 1302 1416 1488 1652 1680 1736 1770 1829 1860 2065 2170 2360 2478 2480 2604 2832 3255 3304 3472 3540 3658 3720 4130 4340 4720 4956 5208 5487 6195 6510 6608 7080 7316 7440 8260 8680 9145 9912 10416 10974 12390 12803 13020 14160 14632 16520 17360 18290 19824 21948 24780 25606 26040 27435 29264 33040 36580 38409 43896 49560 51212 52080 54870 64015 73160 76818 87792 99120 102424 109740 128030 146320 153636 192045 204848 219480 256060 307272 384090 438960 512120 614544 768180 1024240 1536360 3072720