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1138686300 = 2232522355009
BaseRepresentation
bin100001111011110…
…1111100101011100
32221100122020221200
41003313233211130
54313000430200
6304553555500
740134450063
oct10367574534
92840566850
101138686300
11534838964
12279415b90
13151ba759b
14ab32d1da
1569e78800
hex43def95c

1138686300 has 108 divisors (see below), whose sum is σ = 3724397040. Its totient is φ = 290442240.

The previous prime is 1138686271. The next prime is 1138686313. The reversal of 1138686300 is 36868311.

1138686300 is a `hidden beast` number, since 1 + 13 + 8 + 6 + 8 + 630 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6805 + ... + 48204.

Almost surely, 21138686300 is an apocalyptic number.

1138686300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138686300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862198520).

1138686300 is an abundant number, since it is smaller than the sum of its proper divisors (2585710740).

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

1138686300 is a wasteful number, since it uses less digits than its factorization.

1138686300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55052 (or 55042 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1138686300 is about 33744.4262064122. The cubic root of 1138686300 is about 1044.2425010285.

The spelling of 1138686300 in words is "one billion, one hundred thirty-eight million, six hundred eighty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 55009 110018 165027 220036 275045 330054 495081 550090 660108 825135 990162 1100180 1265207 1375225 1650270 1980324 2475405 2530414 2750450 3300540 3795621 4125675 4950810 5060828 5500900 6326035 7591242 8251350 9901620 11386863 12377025 12652070 15182484 16502700 18978105 22773726 24754050 25304140 31630175 37956210 45547452 49508100 56934315 63260350 75912420 94890525 113868630 126520700 189781050 227737260 284671575 379562100 569343150 1138686300