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2279004 = 2237132087
BaseRepresentation
bin1000101100011001011100
311021210012120
420230121130
51040412004
6120502540
725241220
oct10543134
94253176
102279004
111317282
1291aa50
1361a430
14434780
153003d9
hex22c65c

2279004 has 48 divisors (see below), whose sum is σ = 6547968. Its totient is φ = 600768.

The previous prime is 2278981. The next prime is 2279009. The reversal of 2279004 is 4009722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (136416).

22279004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2279004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273984).

2279004 is an abundant number, since it is smaller than the sum of its proper divisors (4268964).

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

2279004 is a wasteful number, since it uses less digits than its factorization.

2279004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2279004 is about 1509.6370424708. The cubic root of 2279004 is about 131.5977192474.

The spelling of 2279004 in words is "two million, two hundred seventy-nine thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2087 4174 6261 8348 12522 14609 25044 27131 29218 43827 54262 58436 81393 87654 108524 162786 175308 189917 325572 379834 569751 759668 1139502 2279004