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2054416 = 247131783
BaseRepresentation
bin111110101100100010000
310212101010111
413311210100
51011220131
6112011104
723314360
oct7654420
93771114
102054416
111183571
12830a94
1356c140
143b69a0
152a8ab1
hex1f5910

2054416 has 80 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 755712.

The previous prime is 2054369. The next prime is 2054443. The reversal of 2054416 is 6144502.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24711 + ... + 24793.

22054416 is an apocalyptic number.

2054416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

2054416 is an abundant number, since it is smaller than the sum of its proper divisors (3195248).

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

2054416 is a wasteful number, since it uses less digits than its factorization.

2054416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2054416 is about 1433.3234108184. The cubic root of 2054416 is about 127.1245600425.

Adding to 2054416 its reverse (6144502), we get a palindrome (8198918).

The spelling of 2054416 in words is "two million, fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 83 91 104 112 119 136 166 182 208 221 238 272 332 364 442 476 581 664 728 884 952 1079 1162 1328 1411 1456 1547 1768 1904 2158 2324 2822 3094 3536 4316 4648 5644 6188 7553 8632 9296 9877 11288 12376 15106 17264 18343 19754 22576 24752 30212 36686 39508 60424 73372 79016 120848 128401 146744 158032 256802 293488 513604 1027208 2054416