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1242573420 = 2235111919857
BaseRepresentation
bin100101000010000…
…0010101001101100
310012121010021021210
41022010002221230
510021044322140
6323144354420
742535462014
oct11204025154
93177107253
101242573420
11588444890
122a8175a10
1316a57c45a
14bb052c44
1574149d80
hex4a102a6c

1242573420 has 96 divisors (see below), whose sum is σ = 3815755776. Its totient is φ = 299622400.

The previous prime is 1242573377. The next prime is 1242573427. The reversal of 1242573420 is 243752421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1242573427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121132 + ... + 130988.

It is an arithmetic number, because the mean of its divisors is an integer number (39747456).

Almost surely, 21242573420 is an apocalyptic number.

1242573420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242573420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907877888).

1242573420 is an abundant number, since it is smaller than the sum of its proper divisors (2573182356).

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

1242573420 is a wasteful number, since it uses less digits than its factorization.

1242573420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1242573420 is about 35250.1548932767. The cubic root of 1242573420 is about 1075.0797618842.

The spelling of 1242573420 in words is "one billion, two hundred forty-two million, five hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 191 220 330 382 573 660 764 955 1146 1910 2101 2292 2865 3820 4202 5730 6303 8404 9857 10505 11460 12606 19714 21010 25212 29571 31515 39428 42020 49285 59142 63030 98570 108427 118284 126060 147855 197140 216854 295710 325281 433708 542135 591420 650562 1084270 1301124 1626405 1882687 2168540 3252810 3765374 5648061 6505620 7530748 9413435 11296122 18826870 20709557 22592244 28240305 37653740 41419114 56480610 62128671 82838228 103547785 112961220 124257342 207095570 248514684 310643355 414191140 621286710 1242573420