Search a number
-
+
4123196 = 2271121217
BaseRepresentation
bin1111101110101000111100
321202110221222
433232220330
52023420241
6224212512
750021660
oct17565074
97673858
104123196
112366900
12146a138
13b1497c
147948a0
15566a4b
hex3eea3c

4123196 has 36 divisors (see below), whose sum is σ = 9071664. Its totient is φ = 1605120.

The previous prime is 4123181. The next prime is 4123199. The reversal of 4123196 is 6913214.

4123196 = T288 + T289 + ... + T364.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2780 + ... + 3996.

Almost surely, 24123196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535832).

4123196 is an abundant number, since it is smaller than the sum of its proper divisors (4948468).

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

4123196 is a wasteful number, since it uses less digits than its factorization.

4123196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1237 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 4123196 is about 2030.5654384924. The cubic root of 4123196 is about 160.3533337294.

The spelling of 4123196 in words is "four million, one hundred twenty-three thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1217 1694 2434 3388 4868 8519 13387 17038 26774 34076 53548 93709 147257 187418 294514 374836 589028 1030799 2061598 4123196