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2327040 = 29325101
BaseRepresentation
bin1000111000001000000000
311101020002200
420320020000
51043431130
6121513200
725531242
oct10701000
94336080
102327040
11134a381
12942800
13636261
14448092
1530e760
hex238200

2327040 has 120 divisors (see below), whose sum is σ = 8138988. Its totient is φ = 614400.

The previous prime is 2327033. The next prime is 2327051. The reversal of 2327040 is 407232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 112896 = 1488^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22990 + ... + 23090.

22327040 is an apocalyptic number.

2327040 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 2327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069494).

2327040 is an abundant number, since it is smaller than the sum of its proper divisors (5811948).

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

2327040 is a wasteful number, since it uses less digits than its factorization.

2327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2327040 is about 1525.4638638788. The cubic root of 2327040 is about 132.5158874980.

The spelling of 2327040 in words is "two million, three hundred twenty-seven thousand, forty".

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 96 101 120 128 144 160 180 192 202 240 256 288 303 320 360 384 404 480 505 512 576 606 640 720 768 808 909 960 1010 1152 1212 1280 1440 1515 1536 1616 1818 1920 2020 2304 2424 2560 2880 3030 3232 3636 3840 4040 4545 4608 4848 5760 6060 6464 7272 7680 8080 9090 9696 11520 12120 12928 14544 16160 18180 19392 23040 24240 25856 29088 32320 36360 38784 48480 51712 58176 64640 72720 77568 96960 116352 129280 145440 155136 193920 232704 258560 290880 387840 465408 581760 775680 1163520 2327040