Search a number
-
+
4106240 = 2115401
BaseRepresentation
bin1111101010100000000000
321201121200222
433222200000
52022344430
6224002212
746621355
oct17524000
97647628
104106240
112355096
121460368
13b0a038
1478c62c
155619e5
hex3ea800

4106240 has 48 divisors (see below), whose sum is σ = 9877140. Its totient is φ = 1638400.

The previous prime is 4106239. The next prime is 4106243. The reversal of 4106240 is 426014.

It can be written as a sum of positive squares in 2 ways, for example, as 3810304 + 295936 = 1952^2 + 544^2 .

It is a super-2 number, since 2×41062402 = 33722413875200, which contains 22 as substring.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10040 + ... + 10440.

Almost surely, 24106240 is an apocalyptic number.

4106240 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 4106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938570).

4106240 is an abundant number, since it is smaller than the sum of its proper divisors (5770900).

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

4106240 is an equidigital number, since it uses as much as digits as its factorization.

4106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4106240 is about 2026.3859454704. The cubic root of 4106240 is about 160.1332223763.

The spelling of 4106240 in words is "four million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 401 512 640 802 1024 1280 1604 2005 2048 2560 3208 4010 5120 6416 8020 10240 12832 16040 25664 32080 51328 64160 102656 128320 205312 256640 410624 513280 821248 1026560 2053120 4106240