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2590987040 = 25594117209
BaseRepresentation
bin1001101001101111…
…0101001100100000
320200120101210000222
42122123311030200
520301243041130
61105033502212
7121131012035
oct23233651440
96616353028
102590987040
11110a5a9a04
12603871968
13323a38735
141a817738c
151026eece5
hex9a6f5320

2590987040 has 48 divisors (see below), whose sum is σ = 6128067960. Its totient is φ = 1035233280.

The previous prime is 2590987033. The next prime is 2590987043. The reversal of 2590987040 is 407890952.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2148137104 + 442849936 = 46348^2 + 21044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2590986982 and 2590987000.

It is not an unprimeable number, because it can be changed into a prime (2590987043) 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, 141956 + ... + 159164.

Almost surely, 22590987040 is an apocalyptic number.

2590987040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590987040 is an abundant number, since it is smaller than the sum of its proper divisors (3537080920).

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

2590987040 is a wasteful number, since it uses less digits than its factorization.

2590987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165 (or 18157 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 2590987040 is about 50901.7390665584. The cubic root of 2590987040 is about 1373.4781248875.

The spelling of 2590987040 in words is "two billion, five hundred ninety million, nine hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 941 1882 3764 4705 7528 9410 15056 17209 18820 30112 34418 37640 68836 75280 86045 137672 150560 172090 275344 344180 550688 688360 1376720 2753440 16193669 32387338 64774676 80968345 129549352 161936690 259098704 323873380 518197408 647746760 1295493520 2590987040