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2054916 = 223353359
BaseRepresentation
bin111110101101100000100
310212101211000
413311230010
51011224131
6112013300
723316003
oct7655404
93771730
102054916
111183986
12831230
1356c436
143b6c3a
152a8ce6
hex1f5b04

2054916 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 670176.

The previous prime is 2054903. The next prime is 2054917. The reversal of 2054916 is 6194502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2054916.

It is not an unprimeable number, because it can be changed into a prime (2054917) 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, 5545 + ... + 5903.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22054916 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 2054916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2054916 is an abundant number, since it is smaller than the sum of its proper divisors (3388284).

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

2054916 is a wasteful number, since it uses less digits than its factorization.

2054916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2054916 is about 1433.4978200193. The cubic root of 2054916 is about 127.1348723200.

The spelling of 2054916 in words is "two million, fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 359 477 636 718 954 1077 1431 1436 1908 2154 2862 3231 4308 5724 6462 9693 12924 19027 19386 38054 38772 57081 76108 114162 171243 228324 342486 513729 684972 1027458 2054916