Search a number
-
+
4106430 = 233567227
BaseRepresentation
bin1111101010100010111110
321201121222000
433222202332
52022401210
6224003130
746622046
oct17524276
97647860
104106430
112355249
1214604a6
13b0a153
1478c726
15561ac0
hex3ea8be

4106430 has 64 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1073952.

The previous prime is 4106423. The next prime is 4106441. The reversal of 4106430 is 346014.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17977 + ... + 18203.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

Almost surely, 24106430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

4106430 is an abundant number, since it is smaller than the sum of its proper divisors (7056450).

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

4106430 is a wasteful number, since it uses less digits than its factorization.

4106430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4106430 is about 2026.4328264218. The cubic root of 4106430 is about 160.1356921818.

The spelling of 4106430 in words is "four million, one hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 227 270 335 402 454 603 670 681 1005 1135 1206 1362 1809 2010 2043 2270 3015 3405 3618 4086 6030 6129 6810 9045 10215 12258 15209 18090 20430 30418 30645 45627 61290 76045 91254 136881 152090 228135 273762 410643 456270 684405 821286 1368810 2053215 4106430