Search a number
-
+
2290960 = 24574091
BaseRepresentation
bin1000101111010100010000
311022101121101
420233110100
51041302320
6121034144
725321120
oct10572420
94271541
102290960
111325261
12925954
136229c9
14438c80
15303c0a
hex22f510

2290960 has 40 divisors (see below), whose sum is σ = 6088896. Its totient is φ = 785280.

The previous prime is 2290943. The next prime is 2290969. The reversal of 2290960 is 690922.

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

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2290969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486 + ... + 2605.

22290960 is an apocalyptic number.

2290960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2290960 is an abundant number, since it is smaller than the sum of its proper divisors (3797936).

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

2290960 is a wasteful number, since it uses less digits than its factorization.

2290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2290960 is about 1513.5917547344. The cubic root of 2290960 is about 131.8274451747.

The spelling of 2290960 in words is "two million, two hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4091 8182 16364 20455 28637 32728 40910 57274 65456 81820 114548 143185 163640 229096 286370 327280 458192 572740 1145480 2290960