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4256120 = 2351117569
BaseRepresentation
bin10000001111000101111000
322000020022002
4100033011320
52042143440
6231120132
751114341
oct20170570
98006262
104256120
112447760
121513048
13b6031b
147cb0c8
15591115
hex40f178

4256120 has 64 divisors (see below), whose sum is σ = 11080800. Its totient is φ = 1454080.

The previous prime is 4256117. The next prime is 4256141. The reversal of 4256120 is 216524.

It is a happy number.

It is a super-2 number, since 2×42561202 = 36229114908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4256092 and 4256101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7196 + ... + 7764.

Almost surely, 24256120 is an apocalyptic number.

4256120 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 4256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540400).

4256120 is an abundant number, since it is smaller than the sum of its proper divisors (6824680).

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

4256120 is a wasteful number, since it uses less digits than its factorization.

4256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4256120 is about 2063.0365968640. The cubic root of 4256120 is about 162.0583034566.

The spelling of 4256120 in words is "four million, two hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 569 680 748 935 1138 1496 1870 2276 2845 3740 4552 5690 6259 7480 9673 11380 12518 19346 22760 25036 31295 38692 48365 50072 62590 77384 96730 106403 125180 193460 212806 250360 386920 425612 532015 851224 1064030 2128060 4256120