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2393040 = 243513259
BaseRepresentation
bin1001001000001111010000
311111120122010
421020033100
51103034130
6123142520
726224536
oct11101720
94446563
102393040
111394a21
12974a40
1365a300
14464156
153240b0
hex2483d0

2393040 has 120 divisors (see below), whose sum is σ = 8169120. Its totient is φ = 579072.

The previous prime is 2393029. The next prime is 2393063. The reversal of 2393040 is 403932.

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

It is a junction number, because it is equal to n+sod(n) for n = 2392998 and 2393016.

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, 40531 + ... + 40589.

It is an arithmetic number, because the mean of its divisors is an integer number (68076).

22393040 is an apocalyptic number.

2393040 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 2393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084560).

2393040 is an abundant number, since it is smaller than the sum of its proper divisors (5776080).

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

2393040 is a wasteful number, since it uses less digits than its factorization.

2393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2393040 is about 1546.9453771869. The cubic root of 2393040 is about 133.7570410012.

Adding to 2393040 its reverse (403932), we get a palindrome (2796972).

The spelling of 2393040 in words is "two million, three hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 169 177 195 208 236 240 260 295 312 338 354 390 472 507 520 590 624 676 708 767 780 845 885 944 1014 1040 1180 1352 1416 1534 1560 1690 1770 2028 2301 2360 2535 2704 2832 3068 3120 3380 3540 3835 4056 4602 4720 5070 6136 6760 7080 7670 8112 9204 9971 10140 11505 12272 13520 14160 15340 18408 19942 20280 23010 29913 30680 36816 39884 40560 46020 49855 59826 61360 79768 92040 99710 119652 149565 159536 184080 199420 239304 299130 398840 478608 598260 797680 1196520 2393040