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1138617630 = 232518796733
BaseRepresentation
bin100001111011101…
…1110110100011110
32221100111202202100
41003313132310132
54312441231010
6304552305530
740134042633
oct10367366436
92840452670
101138617630
115347a1307
122793a22a6
13151b82257
14ab31218a
1569e632c0
hex43dded1e

1138617630 has 48 divisors (see below), whose sum is σ = 2962421280. Its totient is φ = 303424704.

The previous prime is 1138617607. The next prime is 1138617637. The reversal of 1138617630 is 367168311.

1138617630 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 6 + 17 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138617637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165744 + ... + 172476.

It is an arithmetic number, because the mean of its divisors is an integer number (61717110).

Almost surely, 21138617630 is an apocalyptic number.

1138617630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1138617630 is an abundant number, since it is smaller than the sum of its proper divisors (1823803650).

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

1138617630 is a wasteful number, since it uses less digits than its factorization.

1138617630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8625 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1138617630 is about 33743.4086896982. The cubic root of 1138617630 is about 1044.2215091264.

The spelling of 1138617630 in words is "one billion, one hundred thirty-eight million, six hundred seventeen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1879 3758 5637 6733 9395 11274 13466 16911 18790 20199 28185 33665 33822 40398 56370 60597 67330 84555 100995 121194 169110 201990 302985 605970 12651307 25302614 37953921 63256535 75907842 113861763 126513070 189769605 227723526 379539210 569308815 1138617630