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1020120 = 23358501
BaseRepresentation
bin11111001000011011000
31220211100020
43321003120
5230120440
633510440
711446053
oct3710330
91824306
101020120
11637482
12412420
1329942a
141c7a9a
151523d0
hexf90d8

1020120 has 32 divisors (see below), whose sum is σ = 3060720. Its totient is φ = 272000.

The previous prime is 1020113. The next prime is 1020137. The reversal of 1020120 is 210201.

Adding to 1020120 its reverse (210201), we get a palindrome (1230321).

It is a happy number.

1020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1020099 and 1020108.

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, 4131 + ... + 4370.

21020120 is an apocalyptic number.

1020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020120 is an abundant number, since it is smaller than the sum of its proper divisors (2040600).

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

1020120 is a wasteful number, since it uses less digits than its factorization.

1020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020120 is about 1010.0099009416. The cubic root of 1020120 is about 100.6662183413. Note that the first 3 decimals are identical.

The spelling of 1020120 in words is "one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8501 17002 25503 34004 42505 51006 68008 85010 102012 127515 170020 204024 255030 340040 510060 1020120