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104031616 = 2713101619
BaseRepresentation
bin1100011001101…
…10010110000000
321020202100112211
412030312112000
5203113002431
614153431504
72402153113
oct614662600
9236670484
10104031616
11537a5547
122aa0b594
1318725890
14db6057a
1591ee2b1
hex6336580

104031616 has 64 divisors (see below), whose sum is σ = 225766800. Its totient is φ = 47462400.

The previous prime is 104031611. The next prime is 104031623. The reversal of 104031616 is 616130401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104031611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167755 + ... + 168373.

Almost surely, 2104031616 is an apocalyptic number.

104031616 is a gapful number since it is divisible by the number (16) 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 104031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112883400).

104031616 is an abundant number, since it is smaller than the sum of its proper divisors (121735184).

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

104031616 is a wasteful number, since it uses less digits than its factorization.

104031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 104031616 is about 10199.5890113279. The cubic root of 104031616 is about 470.3145864324.

The spelling of 104031616 in words is "one hundred four million, thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 404 416 619 808 832 1238 1313 1616 1664 2476 2626 3232 4952 5252 6464 8047 9904 10504 12928 16094 19808 21008 32188 39616 42016 62519 64376 79232 84032 125038 128752 168064 250076 257504 500152 515008 812747 1000304 1030016 1625494 2000608 3250988 4001216 6501976 8002432 13003952 26007904 52015808 104031616