[go: up one dir, main page]

Search a number
-
+
2258640 = 243253137
BaseRepresentation
bin1000100111011011010000
311020202021100
420213123100
51034234030
6120224400
725124646
oct10473320
94222240
102258640
111302a4a
1290b100
13611097
1442b196
152e9360
hex2276d0

2258640 has 60 divisors (see below), whose sum is σ = 7587684. Its totient is φ = 602112.

The previous prime is 2258639. The next prime is 2258651. The reversal of 2258640 is 468522.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 484416 = 1332^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849 + ... + 2288.

22258640 is an apocalyptic number.

2258640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258640 is an abundant number, since it is smaller than the sum of its proper divisors (5329044).

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

2258640 is a wasteful number, since it uses less digits than its factorization.

2258640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2258640 is about 1502.8772404957. The cubic root of 2258640 is about 131.2045829254.

The spelling of 2258640 in words is "two million, two hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3137 6274 9411 12548 15685 18822 25096 28233 31370 37644 47055 50192 56466 62740 75288 94110 112932 125480 141165 150576 188220 225864 250960 282330 376440 451728 564660 752880 1129320 2258640