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1242376020 = 2232561113149
BaseRepresentation
bin100101000001101…
…0010011101010100
310012120202020111200
41022003102131110
510021022013040
6323140232500
742534010344
oct11203223524
93176666450
101242376020
1158831a546
122a809b730
1316a510652
14bb000d24
157410b630
hex4a0d2754

1242376020 has 72 divisors (see below), whose sum is σ = 3830353800. Its totient is φ = 325866240.

The previous prime is 1242376019. The next prime is 1242376049. The reversal of 1242376020 is 206732421.

1242376020 is a `hidden beast` number, since 1 + 24 + 2 + 37 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3617604 + 1238758416 = 1902^2 + 35196^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45595 + ... + 67554.

Almost surely, 21242376020 is an apocalyptic number.

1242376020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242376020 is an abundant number, since it is smaller than the sum of its proper divisors (2587977780).

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

1242376020 is a wasteful number, since it uses less digits than its factorization.

1242376020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113225 (or 113220 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1242376020 is about 35247.3547943672. The cubic root of 1242376020 is about 1075.0228284317.

The spelling of 1242376020 in words is "one billion, two hundred forty-two million, three hundred seventy-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 113149 226298 339447 452596 565745 678894 1018341 1131490 1357788 1697235 2036682 2262980 3394470 4073364 5091705 6788940 6902089 10183410 13804178 20366820 20706267 27608356 34510445 41412534 62118801 69020890 82825068 103531335 124237602 138041780 207062670 248475204 310594005 414125340 621188010 1242376020