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2149356 = 2231119857
BaseRepresentation
bin1000001100101111101100
311001012100210
420030233230
51022234411
6114022420
724161226
oct10145754
94035323
102149356
111238930
12877a10
135a3411
143dd416
152c6ca6
hex20cbec

2149356 has 48 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 616320.

The previous prime is 2149351. The next prime is 2149379. The reversal of 2149356 is 6539412.

2149356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2149351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2080 + ... + 2936.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

22149356 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 2149356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2149356 is an abundant number, since it is smaller than the sum of its proper divisors (3616404).

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

2149356 is a wasteful number, since it uses less digits than its factorization.

2149356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 2149356 is about 1466.0682112371. The cubic root of 2149356 is about 129.0534001620.

The spelling of 2149356 in words is "two million, one hundred forty-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 857 1254 1714 2508 2571 3428 5142 9427 10284 16283 18854 28281 32566 37708 48849 56562 65132 97698 113124 179113 195396 358226 537339 716452 1074678 2149356