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103087400 = 235213311279
BaseRepresentation
bin1100010010011…
…11110100101000
321011222101022212
412021033310220
5202342244100
614121304252
72361141233
oct611176450
9234871285
10103087400
11532100a9
122a635088
1318484b80
14d99641a
1590b4635
hex624fd28

103087400 has 96 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 36806400.

The previous prime is 103087399. The next prime is 103087409. The reversal of 103087400 is 4780301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103087409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79961 + ... + 81239.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 2103087400 is an apocalyptic number.

103087400 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 103087400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

103087400 is an abundant number, since it is smaller than the sum of its proper divisors (163562200).

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

103087400 is a wasteful number, since it uses less digits than its factorization.

103087400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 103087400 is about 10153.1965409914. The cubic root of 103087400 is about 468.8873635946.

The spelling of 103087400 in words is "one hundred three million, eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1279 1300 1550 1612 2015 2558 2600 3100 3224 4030 5116 6200 6395 8060 10075 10232 12790 16120 16627 20150 25580 31975 33254 39649 40300 51160 63950 66508 79298 80600 83135 127900 133016 158596 166270 198245 255800 317192 332540 396490 415675 515437 665080 792980 831350 991225 1030874 1585960 1662700 1982450 2061748 2577185 3325400 3964900 4123496 5154370 7929800 10308740 12885925 20617480 25771850 51543700 103087400