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2693040 = 243572229
BaseRepresentation
bin1010010001011110110000
312001211011020
422101132300
51142134130
6133415440
731614300
oct12213660
95054136
102693040
11157a359
12a9a580
13733a1c
14501600
15382e10
hex2917b0

2693040 has 120 divisors (see below), whose sum is σ = 9753840. Its totient is φ = 612864.

The previous prime is 2693039. The next prime is 2693057. The reversal of 2693040 is 403962.

It is a tau number, because it is divible by the number of its divisors (120).

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 2693040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11646 + ... + 11874.

It is an arithmetic number, because the mean of its divisors is an integer number (81282).

22693040 is an apocalyptic number.

2693040 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 2693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876920).

2693040 is an abundant number, since it is smaller than the sum of its proper divisors (7060800).

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

2693040 is a wasteful number, since it uses less digits than its factorization.

2693040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2693040 is about 1641.0484453544. The cubic root of 2693040 is about 139.1279122052.

The spelling of 2693040 in words is "two million, six hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 229 240 245 280 294 336 392 420 458 490 560 588 687 735 784 840 916 980 1145 1176 1374 1470 1603 1680 1832 1960 2290 2352 2748 2940 3206 3435 3664 3920 4580 4809 5496 5880 6412 6870 8015 9160 9618 10992 11221 11760 12824 13740 16030 18320 19236 22442 24045 25648 27480 32060 33663 38472 44884 48090 54960 56105 64120 67326 76944 89768 96180 112210 128240 134652 168315 179536 192360 224420 269304 336630 384720 448840 538608 673260 897680 1346520 2693040