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8053020 = 223551657
BaseRepresentation
bin11110101110000100011100
3120011010200000
4132232010130
54030144040
6444334300
7125310123
oct36560434
916133600
108053020
114600398
122844390
13188c601
1410d8aba
15a91130
hex7ae11c

8053020 has 72 divisors (see below), whose sum is σ = 25347504. Its totient is φ = 2146176.

The previous prime is 8053009. The next prime is 8053021. The reversal of 8053020 is 203508.

8053020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80530202 = 129702262240800, which contains 22 as substring.

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 = 8052984 and 8053002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4032 + ... + 5688.

Almost surely, 28053020 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 8053020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673752).

8053020 is an abundant number, since it is smaller than the sum of its proper divisors (17294484).

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

8053020 is a wasteful number, since it uses less digits than its factorization.

8053020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 8053020 is about 2837.7843469862. The cubic root of 8053020 is about 200.4408608279.

Adding to 8053020 its reverse (203508), we get a palindrome (8256528).

The spelling of 8053020 in words is "eight million, fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 1657 2430 3314 4860 4971 6628 8285 9942 14913 16570 19884 24855 29826 33140 44739 49710 59652 74565 89478 99420 134217 149130 178956 223695 268434 298260 402651 447390 536868 671085 805302 894780 1342170 1610604 2013255 2684340 4026510 8053020