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2072028 = 2237171451
BaseRepresentation
bin111111001110111011100
310220021021210
413321313130
51012301103
6112224420
723416620
oct7716734
93807253
102072028
111195822
1283b110
1357716a
143bd180
152ade03
hex1f9ddc

2072028 has 48 divisors (see below), whose sum is σ = 5854464. Its totient is φ = 556800.

The previous prime is 2072023. The next prime is 2072029. The reversal of 2072028 is 8202702.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2071995 and 2072013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

22072028 is an apocalyptic number.

2072028 is a gapful number since it is divisible by the number (28) 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 2072028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232).

2072028 is an abundant number, since it is smaller than the sum of its proper divisors (3782436).

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

2072028 is a wasteful number, since it uses less digits than its factorization.

2072028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2072028 is about 1439.4540631781. The cubic root of 2072028 is about 127.4867960183.

The spelling of 2072028 in words is "two million, seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1451 2902 4353 5804 8706 10157 17412 20314 24667 30471 40628 49334 60942 74001 98668 121884 148002 172669 296004 345338 518007 690676 1036014 2072028