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2329920 = 26325809
BaseRepresentation
bin1000111000110101000000
311101101001100
420320311000
51044024140
6121534400
725542525
oct10706500
94341040
102329920
11135155a
12944400
13637668
1444914c
15310530
hex238d40

2329920 has 84 divisors (see below), whose sum is σ = 8023860. Its totient is φ = 620544.

The previous prime is 2329891. The next prime is 2329937. The reversal of 2329920 is 299232.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 831744 = 1224^2 + 912^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2476 + ... + 3284.

22329920 is an apocalyptic number.

2329920 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 2329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011930).

2329920 is an abundant number, since it is smaller than the sum of its proper divisors (5693940).

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

2329920 is a wasteful number, since it uses less digits than its factorization.

2329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2329920 is about 1526.4075471512. The cubic root of 2329920 is about 132.5705332310.

It can be divided in two parts, 2329 and 920, that added together give a square (3249 = 572).

The spelling of 2329920 in words is "two million, three hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 809 960 1440 1618 2427 2880 3236 4045 4854 6472 7281 8090 9708 12135 12944 14562 16180 19416 24270 25888 29124 32360 36405 38832 48540 51776 58248 64720 72810 77664 97080 116496 129440 145620 155328 194160 232992 258880 291240 388320 465984 582480 776640 1164960 2329920