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1020540120 = 23358504501
BaseRepresentation
bin111100110101000…
…011010011011000
32122010022210212020
4330311003103120
54042224240440
6245133414440
734201306425
oct7465032330
92563283766
101020540120
11484082996
1224593a420
1313357c3c2
1499776d4c
155e8dc3d0
hex3cd434d8

1020540120 has 32 divisors (see below), whose sum is σ = 3061620720. Its totient is φ = 272144000.

The previous prime is 1020540067. The next prime is 1020540121. The reversal of 1020540120 is 210450201.

1020540120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10205401202 = 2083004273059228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020540120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020540121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4252131 + ... + 4252370.

Almost surely, 21020540120 is an apocalyptic number.

1020540120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020540120 is an abundant number, since it is smaller than the sum of its proper divisors (2041080600).

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

1020540120 is a wasteful number, since it uses less digits than its factorization.

1020540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504515 (or 8504511 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1020540120 is about 31945.8936328286. The cubic root of 1020540120 is about 1006.8003569844.

Adding to 1020540120 its reverse (210450201), we get a palindrome (1230990321).

The spelling of 1020540120 in words is "one billion, twenty million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8504501 17009002 25513503 34018004 42522505 51027006 68036008 85045010 102054012 127567515 170090020 204108024 255135030 340180040 510270060 1020540120