Search a number
-
+
2968360 = 23574209
BaseRepresentation
bin1011010100101100101000
312120210211021
423110230220
51224441420
6143342224
734142053
oct13245450
95523737
102968360
11174819a
12bb1974
137cc135
14573a9a
153d97aa
hex2d4b28

2968360 has 16 divisors (see below), whose sum is σ = 6678900. Its totient is φ = 1187328.

The previous prime is 2968337. The next prime is 2968367. The reversal of 2968360 is 638692.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 206116 = 1662^2 + 454^2 .

It is a super-2 number, since 2×29683602 = 17622322179200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2968367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37065 + ... + 37144.

22968360 is an apocalyptic number.

2968360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968360 is an abundant number, since it is smaller than the sum of its proper divisors (3710540).

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

2968360 is a wasteful number, since it uses less digits than its factorization.

2968360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74220 (or 74216 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2968360 is about 1722.8929159991. The cubic root of 2968360 is about 143.7161331686.

The spelling of 2968360 in words is "two million, nine hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 74209 148418 296836 371045 593672 742090 1484180 2968360