Search a number
-
+
2597040 = 243253607
BaseRepresentation
bin1001111010000010110000
311212221110200
421322002300
51131101130
6131355200
731034355
oct11720260
94787420
102597040
111514216
12a52b00
136cc114
144b862c
15364760
hex27a0b0

2597040 has 60 divisors (see below), whose sum is σ = 8724144. Its totient is φ = 692352.

The previous prime is 2597029. The next prime is 2597041. The reversal of 2597040 is 407952.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 2596995 and 2597013.

It is not an unprimeable number, because it can be changed into a prime (2597041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084 + ... + 2523.

22597040 is an apocalyptic number.

2597040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2597040 is an abundant number, since it is smaller than the sum of its proper divisors (6127104).

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

2597040 is a wasteful number, since it uses less digits than its factorization.

2597040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2597040 is about 1611.5334312387. The cubic root of 2597040 is about 137.4546847918.

The spelling of 2597040 in words is "two million, five hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3607 7214 10821 14428 18035 21642 28856 32463 36070 43284 54105 57712 64926 72140 86568 108210 129852 144280 162315 173136 216420 259704 288560 324630 432840 519408 649260 865680 1298520 2597040