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1242124020 = 223256900689
BaseRepresentation
bin100101000001001…
…0100111011110100
310012120021102211100
41022002110323310
510020440432040
6323131010100
742531610554
oct11202247364
93176242740
101242124020
11588168185
122a7b99930
1316a452a37
14bad77164
15740abb30
hex4a094ef4

1242124020 has 36 divisors (see below), whose sum is σ = 3767776740. Its totient is φ = 331233024.

The previous prime is 1242124007. The next prime is 1242124021. The reversal of 1242124020 is 204212421.

1242124020 is a `hidden beast` number, since 1 + 2 + 421 + 240 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 582353424 + 659770596 = 24132^2 + 25686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1242123984 and 1242124002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242124021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450165 + ... + 3450524.

It is an arithmetic number, because the mean of its divisors is an integer number (104660465).

Almost surely, 21242124020 is an apocalyptic number.

1242124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242124020 is an abundant number, since it is smaller than the sum of its proper divisors (2525652720).

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

1242124020 is a wasteful number, since it uses less digits than its factorization.

1242124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900704 (or 6900699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1242124020 is about 35243.7798767385. The cubic root of 1242124020 is about 1074.9501386644.

Adding to 1242124020 its reverse (204212421), we get a palindrome (1446336441).

The spelling of 1242124020 in words is "one billion, two hundred forty-two million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6900689 13801378 20702067 27602756 34503445 41404134 62106201 69006890 82808268 103510335 124212402 138013780 207020670 248424804 310531005 414041340 621062010 1242124020