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2439040 = 27537103
BaseRepresentation
bin1001010011011110000000
311120220201211
421103132000
51111022130
6124135504
726505622
oct11233600
94526654
102439040
11141653a
12997594
13675226
14476c12
15332a2a
hex253780

2439040 has 64 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 940032.

The previous prime is 2439037. The next prime is 2439043. The reversal of 2439040 is 409342.

It is an interprime number because it is at equal distance from previous prime (2439037) and next prime (2439043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×24390402 = 11897832243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2439043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23629 + ... + 23731.

22439040 is an apocalyptic number.

2439040 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 2439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).

2439040 is an abundant number, since it is smaller than the sum of its proper divisors (3607520).

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

2439040 is a wasteful number, since it uses less digits than its factorization.

2439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2439040 is about 1561.7426164384. The cubic root of 2439040 is about 134.6086517198.

The spelling of 2439040 in words is "two million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 103 128 148 160 185 206 296 320 370 412 515 592 640 740 824 1030 1184 1480 1648 2060 2368 2960 3296 3811 4120 4736 5920 6592 7622 8240 11840 13184 15244 16480 19055 23680 30488 32960 38110 60976 65920 76220 121952 152440 243904 304880 487808 609760 1219520 2439040