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104042200 = 23523197173
BaseRepresentation
bin1100011001110…
…00111011011000
321020202220001211
412030320323120
5203113322300
614153552504
72402226013
oct614707330
9236686054
10104042200
1153802499
122aa15734
131872a642
14db6437a
1592024ba
hex6338ed8

104042200 has 96 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 39628800.

The previous prime is 104042177. The next prime is 104042203. The reversal of 104042200 is 2240401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601314 + ... + 601486.

It is an arithmetic number, because the mean of its divisors is an integer number (2643060).

Almost surely, 2104042200 is an apocalyptic number.

104042200 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 104042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

104042200 is an abundant number, since it is smaller than the sum of its proper divisors (149691560).

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

104042200 is a wasteful number, since it uses less digits than its factorization.

104042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 104042200 is about 10200.1078425672. The cubic root of 104042200 is about 470.3305355607.

Adding to 104042200 its reverse (2240401), we get a palindrome (106282601).

The spelling of 104042200 in words is "one hundred four million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 97 100 124 155 173 194 200 248 310 346 388 485 620 692 775 776 865 970 1240 1384 1550 1730 1940 2425 3007 3100 3460 3880 4325 4850 5363 6014 6200 6920 8650 9700 10726 12028 15035 16781 17300 19400 21452 24056 26815 30070 33562 34600 42904 53630 60140 67124 75175 83905 107260 120280 134075 134248 150350 167810 214520 268150 300700 335620 419525 520211 536300 601400 671240 839050 1040422 1072600 1678100 2080844 2601055 3356200 4161688 5202110 10404220 13005275 20808440 26010550 52021100 104042200