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2590480 = 24532381
BaseRepresentation
bin1001111000011100010000
311212121110201
421320130100
51130343410
6131304544
731006264
oct11703420
94777421
102590480
11150a2a2
12a4b154
136c9139
144b60a4
1536283a
hex278710

2590480 has 20 divisors (see below), whose sum is σ = 6023052. Its totient is φ = 1036160.

The previous prime is 2590463. The next prime is 2590493. The reversal of 2590480 is 840952.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1263376 + 1327104 = 1124^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16111 + ... + 16270.

22590480 is an apocalyptic number.

2590480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590480 is an abundant number, since it is smaller than the sum of its proper divisors (3432572).

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

2590480 is a wasteful number, since it uses less digits than its factorization.

2590480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32394 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2590480 is about 1609.4968157781. The cubic root of 2590480 is about 137.3388525342.

The spelling of 2590480 in words is "two million, five hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32381 64762 129524 161905 259048 323810 518096 647620 1295240 2590480