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2020416 = 26317619
BaseRepresentation
bin111101101010001000000
310210122111020
413231101000
51004123131
6111145440
723113266
oct7552100
93718436
102020416
11115aa72
12815280
13559818
143a8436
1529d996
hex1ed440

2020416 has 56 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 632832.

The previous prime is 2020411. The next prime is 2020423. The reversal of 2020416 is 6140202.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2020395 and 2020404.

It is not an unprimeable number, because it can be changed into a prime (2020411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2955 + ... + 3573.

22020416 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 2020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

2020416 is an abundant number, since it is smaller than the sum of its proper divisors (3648864).

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

2020416 is a wasteful number, since it uses less digits than its factorization.

2020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2020416 is about 1421.4133811105. The cubic root of 2020416 is about 126.4193635880.

Adding to 2020416 its reverse (6140202), we get a palindrome (8160618).

The spelling of 2020416 in words is "two million, twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 619 816 1088 1238 1632 1857 2476 3264 3714 4952 7428 9904 10523 14856 19808 21046 29712 31569 39616 42092 59424 63138 84184 118848 126276 168368 252552 336736 505104 673472 1010208 2020416