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2364080 = 245291019
BaseRepresentation
bin1001000001001010110000
311110002220112
421001022300
51101122310
6122400452
726044235
oct11011260
94402815
102364080
111375194
12960128
1364a084
1445778c
1531a705
hex2412b0

2364080 has 40 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 912128.

The previous prime is 2364079. The next prime is 2364119. The reversal of 2364080 is 804632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

22364080 is an apocalyptic number.

2364080 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 2364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2364080 is an abundant number, since it is smaller than the sum of its proper divisors (3327520).

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

2364080 is a wasteful number, since it uses less digits than its factorization.

2364080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2364080 is about 1537.5565030268. The cubic root of 2364080 is about 133.2152844031.

The spelling of 2364080 in words is "two million, three hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1019 1160 2038 2320 4076 5095 8152 10190 16304 20380 29551 40760 59102 81520 118204 147755 236408 295510 472816 591020 1182040 2364080