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5161968 = 24347569
BaseRepresentation
bin10011101100001111110000
3100201020220000
4103230033300
52310140333
6302350000
761606320
oct23541760
910636800
105161968
112a06299
12188b300
1310b9726
14985280
156be713
hex4ec3f0

5161968 has 100 divisors (see below), whose sum is σ = 17104560. Its totient is φ = 1472256.

The previous prime is 5161967. The next prime is 5161993. The reversal of 5161968 is 8691615.

5161968 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

5161968 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161967) 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, 8788 + ... + 9356.

Almost surely, 25161968 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 5161968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552280).

5161968 is an abundant number, since it is smaller than the sum of its proper divisors (11942592).

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

5161968 is a wasteful number, since it uses less digits than its factorization.

5161968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 5161968 is about 2271.9964788705. The cubic root of 5161968 is about 172.8244178457.

The spelling of 5161968 in words is "five million, one hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 569 648 756 1008 1134 1138 1296 1512 1707 2268 2276 3024 3414 3983 4536 4552 5121 6828 7966 9072 9104 10242 11949 13656 15363 15932 20484 23898 27312 30726 31864 35847 40968 46089 47796 61452 63728 71694 81936 92178 95592 107541 122904 143388 184356 191184 215082 245808 286776 322623 368712 430164 573552 645246 737424 860328 1290492 1720656 2580984 5161968