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2189960 = 235531033
BaseRepresentation
bin1000010110101010001000
311010021001122
420112222020
51030034320
6114534412
724420503
oct10265210
94107048
102189960
111266393
12897408
135b8a46
1441013a
152d3d25
hex216a88

2189960 has 32 divisors (see below), whose sum is σ = 5025240. Its totient is φ = 858624.

The previous prime is 2189939. The next prime is 2189981. The reversal of 2189960 is 699812.

2189960 = T80 + T81 + ... + T238.

It is an interprime number because it is at equal distance from previous prime (2189939) and next prime (2189981).

It can be written as a sum of positive squares in 4 ways, for example, as 2184484 + 5476 = 1478^2 + 74^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2189960.

It is a congruent number.

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, 1604 + ... + 2636.

22189960 is an apocalyptic number.

2189960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512620).

2189960 is an abundant number, since it is smaller than the sum of its proper divisors (2835280).

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

2189960 is a wasteful number, since it uses less digits than its factorization.

2189960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2189960 is about 1479.8513438856. The cubic root of 2189960 is about 129.8609954043.

The spelling of 2189960 in words is "two million, one hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1033 1060 2066 2120 4132 5165 8264 10330 20660 41320 54749 109498 218996 273745 437992 547490 1094980 2189960