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138556200 = 23352297963
BaseRepresentation
bin10000100001000…
…11001100101000
3100122201101101010
420100203030220
5240432244300
621425423520
73301464636
oct1020431450
9318641333
10138556200
1171236362
123a49aba0
1322923123
141458a356
15c26da50
hex8423328

138556200 has 96 divisors (see below), whose sum is σ = 444391200. Its totient is φ = 35669760.

The previous prime is 138556199. The next prime is 138556217. The reversal of 138556200 is 2655831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13419 + ... + 21381.

It is an arithmetic number, because the mean of its divisors is an integer number (4629075).

Almost surely, 2138556200 is an apocalyptic number.

138556200 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 138556200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222195600).

138556200 is an abundant number, since it is smaller than the sum of its proper divisors (305835000).

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

138556200 is a wasteful number, since it uses less digits than its factorization.

138556200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 138556200 is about 11770.9897629724. The cubic root of 138556200 is about 517.4582570358.

The spelling of 138556200 in words is "one hundred thirty-eight million, five hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 7963 8700 15926 17400 23889 31852 39815 47778 63704 79630 95556 119445 159260 191112 199075 230927 238890 318520 398150 461854 477780 597225 692781 796300 923708 955560 1154635 1194450 1385562 1592600 1847416 2309270 2388900 2771124 3463905 4618540 4777800 5542248 5773175 6927810 9237080 11546350 13855620 17319525 23092700 27711240 34639050 46185400 69278100 138556200