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2632040 = 235292269
BaseRepresentation
bin1010000010100101101000
311221201110222
422002211220
51133211130
6132225212
731241405
oct12024550
94851428
102632040
111538544
12a6b208
13712028
144c72ac
1536ece5
hex282968

2632040 has 32 divisors (see below), whose sum is σ = 6129000. Its totient is φ = 1016064.

The previous prime is 2632037. The next prime is 2632057. The reversal of 2632040 is 402362.

It can be written as a sum of positive squares in 4 ways, for example, as 1435204 + 1196836 = 1198^2 + 1094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 2294.

22632040 is an apocalyptic number.

2632040 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 2632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064500).

2632040 is an abundant number, since it is smaller than the sum of its proper divisors (3496960).

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

2632040 is a wasteful number, since it uses less digits than its factorization.

2632040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2632040 is about 1622.3563110488. The cubic root of 2632040 is about 138.0694182707.

The spelling of 2632040 in words is "two million, six hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2269 4538 9076 11345 18152 22690 45380 65801 90760 131602 263204 329005 526408 658010 1316020 2632040