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2693120 = 2115263
BaseRepresentation
bin1010010001100000000000
312001211021012
422101200000
51142134440
6133420052
731614443
oct12214000
95054235
102693120
11157a421
12a9a628
13733a81
1450165a
15382e65
hex291800

2693120 has 48 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 1073152.

The previous prime is 2693113. The next prime is 2693149. The reversal of 2693120 is 213962.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10109 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

22693120 is an apocalyptic number.

2693120 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 2693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2693120 is an abundant number, since it is smaller than the sum of its proper divisors (3793360).

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

2693120 is an equidigital number, since it uses as much as digits as its factorization.

2693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2693120 is about 1641.0728198346. The cubic root of 2693120 is about 139.1292898457.

The spelling of 2693120 in words is "two million, six hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 263 320 512 526 640 1024 1052 1280 1315 2048 2104 2560 2630 4208 5120 5260 8416 10240 10520 16832 21040 33664 42080 67328 84160 134656 168320 269312 336640 538624 673280 1346560 2693120