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2993540 = 2251121237
BaseRepresentation
bin1011011010110110000100
312122002100212
423122312010
51231243130
6144054552
734305344
oct13326604
95562325
102993540
111765100
121004458
1380a734
1457cd24
153e1e95
hex2dad84

2993540 has 36 divisors (see below), whose sum is σ = 6915468. Its totient is φ = 1087680.

The previous prime is 2993527. The next prime is 2993563. The reversal of 2993540 is 453992.

2993540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1684804 + 1308736 = 1298^2 + 1144^2 .

It is a super-2 number, since 2×29935402 = 17922563463200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2993497 and 2993506.

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 11 ways as a sum of consecutive naturals, for example, 1802 + ... + 3038.

22993540 is an apocalyptic number.

2993540 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 2993540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457734).

2993540 is an abundant number, since it is smaller than the sum of its proper divisors (3921928).

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

2993540 is a wasteful number, since it uses less digits than its factorization.

2993540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 2993540 is about 1730.1849612108. The cubic root of 2993540 is about 144.1213611672.

The spelling of 2993540 in words is "two million, nine hundred ninety-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1237 2420 2474 4948 6185 12370 13607 24740 27214 54428 68035 136070 149677 272140 299354 598708 748385 1496770 2993540