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2283960 = 233572719
BaseRepresentation
bin1000101101100110111000
311022001000010
420231212320
51041041320
6120541520
725261530
oct10554670
94261003
102283960
11131aa78
129218a0
1361c773
144364c0
15301ae0
hex22d9b8

2283960 has 64 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 521856.

The previous prime is 2283947. The next prime is 2283991. The reversal of 2283960 is 693822.

2283960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

22283960 is an apocalyptic number.

2283960 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 2283960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

2283960 is an abundant number, since it is smaller than the sum of its proper divisors (5549640).

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

2283960 is a wasteful number, since it uses less digits than its factorization.

2283960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2283960 is about 1511.2776052069. The cubic root of 2283960 is about 131.6930424825.

It can be divided in two parts, 22839 and 60, that multiplied together give a triangular number (1370340 = T1655).

The spelling of 2283960 in words is "two million, two hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2719 5438 8157 10876 13595 16314 19033 21752 27190 32628 38066 40785 54380 57099 65256 76132 81570 95165 108760 114198 152264 163140 190330 228396 285495 326280 380660 456792 570990 761320 1141980 2283960