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2523040 = 255131213
BaseRepresentation
bin1001100111111110100000
311202011221221
421213332200
51121214130
6130024424
730305542
oct11477640
94664857
102523040
111473663
12a18114
136a4530
14499692
1534c87a
hex267fa0

2523040 has 48 divisors (see below), whose sum is σ = 6424488. Its totient is φ = 930816.

The previous prime is 2523013. The next prime is 2523041. The reversal of 2523040 is 403252.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 1669264 = 924^2 + 1292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2523041) 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, 1474 + ... + 2686.

22523040 is an apocalyptic number.

2523040 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 2523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212244).

2523040 is an abundant number, since it is smaller than the sum of its proper divisors (3901448).

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

2523040 is a wasteful number, since it uses less digits than its factorization.

2523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2523040 is about 1588.4080080382. The cubic root of 2523040 is about 136.1365410705.

Adding to 2523040 its reverse (403252), we get a palindrome (2926292).

The spelling of 2523040 in words is "two million, five hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1213 2080 2426 4852 6065 9704 12130 15769 19408 24260 31538 38816 48520 63076 78845 97040 126152 157690 194080 252304 315380 504608 630760 1261520 2523040