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1242204516 = 22327231072003
BaseRepresentation
bin100101000001010…
…1000100101100100
310012120102112020200
41022002220211210
510021001021031
6323132430500
742532364340
oct11202504544
93176375220
101242204516
11588212703
122a8018430
1316a480577
14bad98620
15740c58e6
hex4a0a8964

1242204516 has 144 divisors (see below), whose sum is σ = 3781499904. Its totient is φ = 336143808.

The previous prime is 1242204499. The next prime is 1242204517. The reversal of 1242204516 is 6154022421.

1242204516 is a `hidden beast` number, since 124 + 2 + 20 + 4 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1242204516.

It is not an unprimeable number, because it can be changed into a prime (1242204517) 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 47 ways as a sum of consecutive naturals, for example, 619171 + ... + 621173.

It is an arithmetic number, because the mean of its divisors is an integer number (26260416).

Almost surely, 21242204516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242204516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890749952).

1242204516 is an abundant number, since it is smaller than the sum of its proper divisors (2539295388).

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

1242204516 is a wasteful number, since it uses less digits than its factorization.

1242204516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1242204516 is about 35244.9218469839. The cubic root of 1242204516 is about 1074.9733589215.

Adding to 1242204516 its reverse (6154022421), we get a palindrome (7396226937).

The spelling of 1242204516 in words is "one billion, two hundred forty-two million, two hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 107 126 138 161 207 214 252 276 321 322 414 428 483 642 644 749 828 963 966 1284 1449 1498 1926 1932 2003 2247 2461 2898 2996 3852 4006 4494 4922 5796 6009 6741 7383 8012 8988 9844 12018 13482 14021 14766 17227 18027 22149 24036 26964 28042 29532 34454 36054 42063 44298 46069 51681 56084 68908 72108 84126 88596 92138 103362 126189 138207 155043 168252 184276 206724 214321 252378 276414 310086 322483 414621 428642 504756 552828 620172 642963 644966 829242 857284 967449 1285926 1289932 1500247 1658484 1928889 1934898 2571852 2902347 3000494 3857778 3869796 4500741 4929383 5804694 6000988 7715556 9001482 9858766 11609388 13502223 14788149 18002964 19717532 27004446 29576298 34505681 44364447 54008892 59152596 69011362 88728894 103517043 138022724 177457788 207034086 310551129 414068172 621102258 1242204516