Search a number
-
+
2030016 = 26397109
BaseRepresentation
bin111101111100111000000
310211010122210
413233213000
51004430031
6111302120
723153262
oct7574700
93733583
102030016
1111671aa
1281a940
13560cc1
143abb32
152a1746
hex1ef9c0

2030016 has 56 divisors (see below), whose sum is σ = 5476240. Its totient is φ = 663552.

The previous prime is 2030009. The next prime is 2030051. The reversal of 2030016 is 6100302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2029983 and 2030010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18570 + ... + 18678.

It is an arithmetic number, because the mean of its divisors is an integer number (97790).

22030016 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 2030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738120).

2030016 is an abundant number, since it is smaller than the sum of its proper divisors (3446224).

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

2030016 is a wasteful number, since it uses less digits than its factorization.

2030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2030016 is about 1424.7862997657. The cubic root of 2030016 is about 126.6192743603.

Adding to 2030016 its reverse (6100302), we get a palindrome (8130318).

The spelling of 2030016 in words is "two million, thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 109 192 194 218 291 327 388 436 582 654 776 872 1164 1308 1552 1744 2328 2616 3104 3488 4656 5232 6208 6976 9312 10464 10573 18624 20928 21146 31719 42292 63438 84584 126876 169168 253752 338336 507504 676672 1015008 2030016