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104031600 = 2435286693
BaseRepresentation
bin1100011001101…
…10010101110000
321020202100112020
412030312111300
5203113002400
614153431440
72402153061
oct614662560
9236670466
10104031600
11537a5532
122aa0b580
131872587a
14db60568
1591ee2a0
hex6336570

104031600 has 60 divisors (see below), whose sum is σ = 333251736. Its totient is φ = 27741440.

The previous prime is 104031581. The next prime is 104031611. The reversal of 104031600 is 6130401.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104031600.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42147 + ... + 44546.

Almost surely, 2104031600 is an apocalyptic number.

104031600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104031600 is an abundant number, since it is smaller than the sum of its proper divisors (229220136).

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

104031600 is a wasteful number, since it uses less digits than its factorization.

104031600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86714 (or 86703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 104031600 is about 10199.5882269825. The cubic root of 104031600 is about 470.3145623210.

It can be divided in two parts, 1040 and 31600, that added together give a triangular number (32640 = T255).

The spelling of 104031600 in words is "one hundred four million, thirty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 86693 173386 260079 346772 433465 520158 693544 866930 1040316 1300395 1387088 1733860 2080632 2167325 2600790 3467720 4161264 4334650 5201580 6501975 6935440 8669300 10403160 13003950 17338600 20806320 26007900 34677200 52015800 104031600