Search a number
-
+
6100896 = 253103617
BaseRepresentation
bin10111010001011110100000
3102110221212010
4113101132200
53030212041
6334432520
7102566604
oct27213640
912427763
106100896
11349776a
122062740
131357bc9
14b4b504
15807a16
hex5d17a0

6100896 has 48 divisors (see below), whose sum is σ = 16196544. Its totient is φ = 2010624.

The previous prime is 6100889. The next prime is 6100901. The reversal of 6100896 is 6980016.

6100896 = T133 + T134 + ... + T338.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9580 + ... + 10196.

It is an arithmetic number, because the mean of its divisors is an integer number (337428).

Almost surely, 26100896 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 6100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098272).

6100896 is an abundant number, since it is smaller than the sum of its proper divisors (10095648).

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

6100896 is a wasteful number, since it uses less digits than its factorization.

6100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6100896 is about 2469.9991902833. Note that the first 3 decimals coincide. The cubic root of 6100896 is about 182.7249593439.

It can be divided in two parts, 6100 and 896, that added together give a palindrome (6996).

The spelling of 6100896 in words is "six million, one hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 617 618 824 1234 1236 1648 1851 2468 2472 3296 3702 4936 4944 7404 9872 9888 14808 19744 29616 59232 63551 127102 190653 254204 381306 508408 762612 1016816 1525224 2033632 3050448 6100896