Search a number
-
+
2241680 = 24574003
BaseRepresentation
bin1000100011010010010000
311012220000012
420203102100
51033213210
6120014052
725024340
oct10432220
94186005
102241680
1112a1231
12901328
1360644c
14424d20
152e4305
hex223490

2241680 has 40 divisors (see below), whose sum is σ = 5957952. Its totient is φ = 768384.

The previous prime is 2241667. The next prime is 2241691. The reversal of 2241680 is 861422.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1442 + ... + 2561.

22241680 is an apocalyptic number.

2241680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241680 is an abundant number, since it is smaller than the sum of its proper divisors (3716272).

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

2241680 is a wasteful number, since it uses less digits than its factorization.

2241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2241680 is about 1497.2240981229. The cubic root of 2241680 is about 130.8753548964.

The spelling of 2241680 in words is "two million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4003 8006 16012 20015 28021 32024 40030 56042 64048 80060 112084 140105 160120 224168 280210 320240 448336 560420 1120840 2241680