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2390528 = 2972329
BaseRepresentation
bin1001000111101000000000
311111110012002
421013220000
51102444103
6123123132
726214320
oct11075000
94443162
102390528
111393048
129734a8
1365911a
14463280
15323488
hex247a00

2390528 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 946176.

The previous prime is 2390519. The next prime is 2390539. The reversal of 2390528 is 8250932.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 2390528.

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, 82418 + ... + 82446.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

22390528 is an apocalyptic number.

2390528 is a gapful number since it is divisible by the number (28) 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 2390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2390528 is an abundant number, since it is smaller than the sum of its proper divisors (3501952).

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

2390528 is an equidigital number, since it uses as much as digits as its factorization.

2390528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2390528 is about 1546.1332413476. The cubic root of 2390528 is about 133.7102225440.

The spelling of 2390528 in words is "two million, three hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 128 161 184 203 224 232 256 322 368 406 448 464 512 644 667 736 812 896 928 1288 1334 1472 1624 1792 1856 2576 2668 2944 3248 3584 3712 4669 5152 5336 5888 6496 7424 9338 10304 10672 11776 12992 14848 18676 20608 21344 25984 37352 41216 42688 51968 74704 82432 85376 103936 149408 170752 298816 341504 597632 1195264 2390528