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1242116832 = 253111769191
BaseRepresentation
bin100101000001001…
…0011001011100000
310012120021001222010
41022002103023200
510020440214312
6323130512520
742531550605
oct11202231340
93176231863
101242116832
11588162840
122a7b95740
1316a44c698
14bad746ac
15740a993c
hex4a0932e0

1242116832 has 96 divisors (see below), whose sum is σ = 3766258944. Its totient is φ = 354252800.

The previous prime is 1242116797. The next prime is 1242116833. The reversal of 1242116832 is 2386112421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1242116832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242116833) 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 15 ways as a sum of consecutive naturals, for example, 16644 + ... + 52547.

It is an arithmetic number, because the mean of its divisors is an integer number (39231864).

Almost surely, 21242116832 is an apocalyptic number.

1242116832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1242116832 is an abundant number, since it is smaller than the sum of its proper divisors (2524142112).

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

1242116832 is a wasteful number, since it uses less digits than its factorization.

1242116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69232 (or 69224 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1242116832 is about 35243.6779011499. The cubic root of 1242116832 is about 1074.9480651312.

The spelling of 1242116832 in words is "one billion, two hundred forty-two million, one hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 69191 138382 207573 276764 415146 553528 761101 830292 1107056 1176247 1522202 1660584 2214112 2283303 2352494 3044404 3321168 3528741 4566606 4704988 6088808 6642336 7057482 9133212 9409976 12177616 12938717 14114964 18266424 18819952 24355232 25877434 28229928 36532848 37639904 38816151 51754868 56459856 73065696 77632302 103509736 112919712 155264604 207019472 310529208 414038944 621058416 1242116832