Search a number
-
+
4256040 = 2335291223
BaseRepresentation
bin10000001111000100101000
322000020012010
4100033010220
52042143130
6231115520
751114165
oct20170450
98006163
104256040
112447698
121512ba0
13b60289
147cb06c
155910b0
hex40f128

4256040 has 64 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1094912.

The previous prime is 4256029. The next prime is 4256051. The reversal of 4256040 is 406524.

It is a happy number.

4256040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4256029) and next prime (4256051).

It is a super-2 number, since 2×42560402 = 36227752963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4255998 and 4256016.

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, 2869 + ... + 4091.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 24256040 is an apocalyptic number.

4256040 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 4256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

4256040 is an abundant number, since it is smaller than the sum of its proper divisors (8963160).

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

4256040 is a wasteful number, since it uses less digits than its factorization.

4256040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4256040 is about 2063.0172078778. The cubic root of 4256040 is about 162.0572880760.

The spelling of 4256040 in words is "four million, two hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1223 1740 2446 3480 3669 4892 6115 7338 9784 12230 14676 18345 24460 29352 35467 36690 48920 70934 73380 106401 141868 146760 177335 212802 283736 354670 425604 532005 709340 851208 1064010 1418680 2128020 4256040