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2670720 = 273513107
BaseRepresentation
bin1010001100000010000000
312000200112120
422030002000
51140430340
6133124240
731462233
oct12140200
95020476
102670720
111564608
12a89680
13726810
144d741a
1537b4d0
hex28c080

2670720 has 128 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 651264.

The previous prime is 2670719. The next prime is 2670721. The reversal of 2670720 is 270762.

It is an interprime number because it is at equal distance from previous prime (2670719) and next prime (2670721).

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

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

It is not an unprimeable number, because it can be changed into a prime (2670721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24907 + ... + 25013.

22670720 is an apocalyptic number.

2670720 is a gapful number since it is divisible by the number (20) 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 2670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

2670720 is an abundant number, since it is smaller than the sum of its proper divisors (6582720).

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

2670720 is a wasteful number, since it uses less digits than its factorization.

2670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 2670720 is about 1634.2337654081. The cubic root of 2670720 is about 138.7424799106.

The spelling of 2670720 in words is "two million, six hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 107 120 128 130 156 160 192 195 208 214 240 260 312 320 321 384 390 416 428 480 520 535 624 640 642 780 832 856 960 1040 1070 1248 1284 1391 1560 1605 1664 1712 1920 2080 2140 2496 2568 2782 3120 3210 3424 4160 4173 4280 4992 5136 5564 6240 6420 6848 6955 8320 8346 8560 10272 11128 12480 12840 13696 13910 16692 17120 20544 20865 22256 24960 25680 27820 33384 34240 41088 41730 44512 51360 55640 66768 68480 83460 89024 102720 111280 133536 166920 178048 205440 222560 267072 333840 445120 534144 667680 890240 1335360 2670720