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2398080 = 27351249
BaseRepresentation
bin1001001001011110000000
311111211112210
421021132000
51103214310
6123222120
726245326
oct11113600
94454483
102398080
111398793
12977940
1365c6a9
14465d16
15325820
hex249780

2398080 has 64 divisors (see below), whose sum is σ = 7650000. Its totient is φ = 638976.

The previous prime is 2398073. The next prime is 2398087. The reversal of 2398080 is 808932.

It is an interprime number because it is at equal distance from previous prime (2398073) and next prime (2398087).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2398087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 2544.

22398080 is an apocalyptic number.

2398080 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 2398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825000).

2398080 is an abundant number, since it is smaller than the sum of its proper divisors (5251920).

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

2398080 is a wasteful number, since it uses less digits than its factorization.

2398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2398080 is about 1548.5735371625. The cubic root of 2398080 is about 133.8508774007.

The spelling of 2398080 in words is "two million, three hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1249 1920 2498 3747 4996 6245 7494 9992 12490 14988 18735 19984 24980 29976 37470 39968 49960 59952 74940 79936 99920 119904 149880 159872 199840 239808 299760 399680 479616 599520 799360 1199040 2398080