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1142635608 = 233270122639
BaseRepresentation
bin100010000011011…
…0011110001011000
32221122001220101100
41010012303301120
54320003314413
6305214351400
740213146102
oct10406636130
92848056340
101142635608
11536a96054
1227a7bb560
1315295b05a
14aba7a572
156a4a8a73
hex441b3c58

1142635608 has 48 divisors (see below), whose sum is σ = 3099189600. Its totient is φ = 380318400.

The previous prime is 1142635597. The next prime is 1142635631. The reversal of 1142635608 is 8065362411.

It is a happy number.

1142635608 is a `hidden beast` number, since 1 + 1 + 42 + 6 + 3 + 5 + 608 = 666.

It is a super-2 number, since 2×11426356082 = 2611232265339059328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 39153 + ... + 61791.

It is an arithmetic number, because the mean of its divisors is an integer number (64566450).

Almost surely, 21142635608 is an apocalyptic number.

1142635608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1142635608 is an abundant number, since it is smaller than the sum of its proper divisors (1956553992).

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

1142635608 is a wasteful number, since it uses less digits than its factorization.

1142635608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23352 (or 23345 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1142635608 is about 33802.8934856175. The cubic root of 1142635608 is about 1045.4483574699.

The spelling of 1142635608 in words is "one billion, one hundred forty-two million, six hundred thirty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 701 1402 2103 2804 4206 5608 6309 8412 12618 16824 22639 25236 45278 50472 67917 90556 135834 181112 203751 271668 407502 543336 815004 1630008 15869939 31739878 47609817 63479756 95219634 126959512 142829451 190439268 285658902 380878536 571317804 1142635608