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2398720 = 295937
BaseRepresentation
bin1001001001101000000000
311111212102111
421021220000
51103224340
6123225104
726250232
oct11115000
94455374
102398720
111399215
12978194
1365ca7c
14466252
15325aea
hex249a00

2398720 has 40 divisors (see below), whose sum is σ = 5757444. Its totient is φ = 958464.

The previous prime is 2398699. The next prime is 2398777. The reversal of 2398720 is 278932.

2398720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 278784 = 1456^2 + 528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2092 + ... + 3028.

22398720 is an apocalyptic number.

2398720 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 2398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878722).

2398720 is an abundant number, since it is smaller than the sum of its proper divisors (3358724).

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

2398720 is an frugal number, since it uses more digits than its factorization.

2398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2398720 is about 1548.7801651622. The cubic root of 2398720 is about 133.8627837233.

The spelling of 2398720 in words is "two million, three hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 937 1280 1874 2560 3748 4685 7496 9370 14992 18740 29984 37480 59968 74960 119936 149920 239872 299840 479744 599680 1199360 2398720