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2054268 = 223323827
BaseRepresentation
bin111110101100001111100
310212100221000
413311201330
51011214033
6112010300
723314056
oct7654174
93770830
102054268
111183447
12830990
1356c058
143b68d6
152a8a13
hex1f587c

2054268 has 48 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 654192.

The previous prime is 2054257. The next prime is 2054317. The reversal of 2054268 is 8624502.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071 + ... + 2897.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

22054268 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 2054268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2054268 is an abundant number, since it is smaller than the sum of its proper divisors (3509892).

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

2054268 is a wasteful number, since it uses less digits than its factorization.

2054268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2054268 is about 1433.2717816241. The cubic root of 2054268 is about 127.1215072874.

The spelling of 2054268 in words is "two million, fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 827 828 1242 1654 2481 2484 3308 4962 7443 9924 14886 19021 22329 29772 38042 44658 57063 76084 89316 114126 171189 228252 342378 513567 684756 1027134 2054268