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104181400 = 23521932699
BaseRepresentation
bin1100011010110…
…10111010011000
321021000222000101
412031122322120
5203132301100
614200545144
72403345601
oct615327230
9237028011
10104181400
1153898034
122aa821b4
1318778acb
14db9cda8
15922d86a
hex635ae98

104181400 has 48 divisors (see below), whose sum is σ = 243567000. Its totient is φ = 41441280.

The previous prime is 104181383. The next prime is 104181403. The reversal of 104181400 is 4181401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104181403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37251 + ... + 39949.

Almost surely, 2104181400 is an apocalyptic number.

104181400 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 104181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121783500).

104181400 is an abundant number, since it is smaller than the sum of its proper divisors (139385600).

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

104181400 is a wasteful number, since it uses less digits than its factorization.

104181400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 104181400 is about 10206.9290190537. The cubic root of 104181400 is about 470.5401967507.

Subtracting from 104181400 its reverse (4181401), we obtain a palindrome (99999999).

The spelling of 104181400 in words is "one hundred four million, one hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 2699 3860 4825 5398 7720 9650 10796 13495 19300 21592 26990 38600 53980 67475 107960 134950 269900 520907 539800 1041814 2083628 2604535 4167256 5209070 10418140 13022675 20836280 26045350 52090700 104181400