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1138747860 = 223256326377
BaseRepresentation
bin100001111011111…
…1110100111010100
32221100202101101200
41003313332213110
54313004412420
6304555152500
740135124415
oct10367764724
92840671350
101138747860
11534880138
12279445730
13151bc9603
14ab34780c
1569e8bb90
hex43dfe9d4

1138747860 has 36 divisors (see below), whose sum is σ = 3454202388. Its totient is φ = 303666048.

The previous prime is 1138747823. The next prime is 1138747861. The reversal of 1138747860 is 687478311.

1138747860 is a `hidden beast` number, since 113 + 8 + 7 + 478 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 538889796 + 599858064 = 23214^2 + 24492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138747861) 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 11 ways as a sum of consecutive naturals, for example, 3163009 + ... + 3163368.

Almost surely, 21138747860 is an apocalyptic number.

1138747860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138747860 is an abundant number, since it is smaller than the sum of its proper divisors (2315454528).

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

1138747860 is a wasteful number, since it uses less digits than its factorization.

1138747860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326392 (or 6326387 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1138747860 is about 33745.3383447255. The cubic root of 1138747860 is about 1044.2613187397.

The spelling of 1138747860 in words is "one billion, one hundred thirty-eight million, seven hundred forty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6326377 12652754 18979131 25305508 31631885 37958262 56937393 63263770 75916524 94895655 113874786 126527540 189791310 227749572 284686965 379582620 569373930 1138747860