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2040816 = 243174161
BaseRepresentation
bin111110010001111110000
310211200110210
413302033300
51010301231
6111424120
723226621
oct7621760
93750423
102040816
111174328
12825040
13565bab
143b1a48
152a4a46
hex1f23f0

2040816 has 80 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 614400.

The previous prime is 2040803. The next prime is 2040827. The reversal of 2040816 is 6180402.

It is a junction number, because it is equal to n+sod(n) for n = 2040792 and 2040801.

It is a congruent number.

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, 33426 + ... + 33486.

22040816 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 2040816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

2040816 is an abundant number, since it is smaller than the sum of its proper divisors (3771312).

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

2040816 is a wasteful number, since it uses less digits than its factorization.

2040816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2040816 is about 1428.5713142857. The cubic root of 2040816 is about 126.8434220554.

The spelling of 2040816 in words is "two million, forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 61 68 82 102 122 123 136 164 183 204 244 246 272 328 366 408 488 492 656 697 732 816 976 984 1037 1394 1464 1968 2074 2091 2501 2788 2928 3111 4148 4182 5002 5576 6222 7503 8296 8364 10004 11152 12444 15006 16592 16728 20008 24888 30012 33456 40016 42517 49776 60024 85034 120048 127551 170068 255102 340136 510204 680272 1020408 2040816