Search a number
-
+
6028020 = 22345612
BaseRepresentation
bin10110111111101011110100
3102100020220000
4112333223310
53020344040
6333111300
7102144255
oct26775364
912306800
106028020
113447a39
122028530
13133099b
14b2cb2c
157e1130
hex5bfaf4

6028020 has 90 divisors (see below), whose sum is σ = 19225206. Its totient is φ = 1581120.

The previous prime is 6028019. The next prime is 6028031. The reversal of 6028020 is 208206.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 5560164 = 684^2 + 2358^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6027984 and 6028002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 98790 + ... + 98850.

Almost surely, 26028020 is an apocalyptic number.

6028020 is a gapful number since it is divisible by the number (60) 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 6028020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612603).

6028020 is an abundant number, since it is smaller than the sum of its proper divisors (13197186).

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

6028020 is a wasteful number, since it uses less digits than its factorization.

6028020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6028020 is about 2455.2026392948. The cubic root of 6028020 is about 181.9944852010.

The spelling of 6028020 in words is "six million, twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 244 270 305 324 366 405 540 549 610 732 810 915 1098 1220 1620 1647 1830 2196 2745 3294 3660 3721 4941 5490 6588 7442 8235 9882 10980 11163 14884 16470 18605 19764 22326 24705 32940 33489 37210 44652 49410 55815 66978 74420 98820 100467 111630 133956 167445 200934 223260 301401 334890 401868 502335 602802 669780 1004670 1205604 1507005 2009340 3014010 6028020