Search a number
-
+
4108968 = 233417373
BaseRepresentation
bin1111101011001010101000
321201202110000
433223022220
52022441333
6224023000
746632333
oct17531250
97652400
104108968
112357146
121461a60
13b0b356
1478d61a
15562713
hex3eb2a8

4108968 has 80 divisors (see below), whose sum is σ = 12218580. Its totient is φ = 1285632.

The previous prime is 4108963. The next prime is 4108969. The reversal of 4108968 is 8698014.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 116964 = 1998^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10830 + ... + 11202.

Almost surely, 24108968 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 4108968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109290).

4108968 is an abundant number, since it is smaller than the sum of its proper divisors (8109612).

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

4108968 is a wasteful number, since it uses less digits than its factorization.

4108968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4108968 is about 2027.0589532621. The cubic root of 4108968 is about 160.1686762811.

The spelling of 4108968 in words is "four million, one hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 373 408 459 612 648 746 918 1119 1224 1377 1492 1836 2238 2754 2984 3357 3672 4476 5508 6341 6714 8952 10071 11016 12682 13428 19023 20142 25364 26856 30213 38046 40284 50728 57069 60426 76092 80568 114138 120852 152184 171207 228276 241704 342414 456552 513621 684828 1027242 1369656 2054484 4108968