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4290560 = 2115419
BaseRepresentation
bin10000010111100000000000
322001222112122
4100113200000
52044244220
6231543412
751316631
oct20274000
98058478
104290560
11247061a
12152ab68
13b72bc1
147d9888
1559b425
hex417800

4290560 has 48 divisors (see below), whose sum is σ = 10319400. Its totient is φ = 1712128.

The previous prime is 4290553. The next prime is 4290641. The reversal of 4290560 is 650924.

It is a super-2 number, since 2×42905602 = 36817810227200, which contains 22 as substring.

It is a congruent number.

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, 10031 + ... + 10449.

Almost surely, 24290560 is an apocalyptic number.

4290560 is a gapful number since it is divisible by the number (40) 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 4290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700).

4290560 is an abundant number, since it is smaller than the sum of its proper divisors (6028840).

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

4290560 is an equidigital number, since it uses as much as digits as its factorization.

4290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 4290560 is about 2071.3666985833. The cubic root of 4290560 is about 162.4942483171.

The spelling of 4290560 in words is "four million, two hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 419 512 640 838 1024 1280 1676 2048 2095 2560 3352 4190 5120 6704 8380 10240 13408 16760 26816 33520 53632 67040 107264 134080 214528 268160 429056 536320 858112 1072640 2145280 4290560