Search a number
-
+
4120308 = 2238157
BaseRepresentation
bin1111101101111011110100
321202100000000
433231323310
52023322213
6224151300
750010363
oct17557364
97670000
104120308
112364715
121468530
13b1356a
147937da
15565c73
hex3edef4

4120308 has 54 divisors (see below), whose sum is σ = 10884146. Its totient is φ = 1364688.

The previous prime is 4120301. The next prime is 4120313. The reversal of 4120308 is 8030214.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 944784 = 1782^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26166 + ... + 26322.

Almost surely, 24120308 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 4120308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442073).

4120308 is an abundant number, since it is smaller than the sum of its proper divisors (6763838).

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

4120308 is an equidigital number, since it uses as much as digits as its factorization.

4120308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4120308 is about 2029.8541819550. The cubic root of 4120308 is about 160.3158863551.

The spelling of 4120308 in words is "four million, one hundred twenty thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 243 314 324 471 486 628 729 942 972 1413 1458 1884 2187 2826 2916 4239 4374 5652 6561 8478 8748 12717 13122 16956 25434 26244 38151 50868 76302 114453 152604 228906 343359 457812 686718 1030077 1373436 2060154 4120308