Search a number
-
+
2631840 = 25355483
BaseRepresentation
bin1010000010100010100000
311221201012120
422002202200
51133204330
6132224240
731241001
oct12024240
94851176
102631840
111538382
12a6b080
13711c03
144c71a8
1536ec10
hex2828a0

2631840 has 48 divisors (see below), whose sum is σ = 8291808. Its totient is φ = 701696.

The previous prime is 2631833. The next prime is 2631851. The reversal of 2631840 is 481362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2631840.

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, 2262 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (172746).

22631840 is an apocalyptic number.

2631840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2631840 is an abundant number, since it is smaller than the sum of its proper divisors (5659968).

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

2631840 is a wasteful number, since it uses less digits than its factorization.

2631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2631840 is about 1622.2946711372. The cubic root of 2631840 is about 138.0659210362.

The spelling of 2631840 in words is "two million, six hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5483 10966 16449 21932 27415 32898 43864 54830 65796 82245 87728 109660 131592 164490 175456 219320 263184 328980 438640 526368 657960 877280 1315920 2631840