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104361440 = 2553791721
BaseRepresentation
bin1100011100001…
…10110111100000
321021101002222112
412032012313200
5203204031230
614204454452
72405025521
oct616066740
9237332875
10104361440
1153a00327
122ab4a428
131880ca41
14dc08848
159266d95
hex6386de0

104361440 has 48 divisors (see below), whose sum is σ = 247348080. Its totient is φ = 41610240.

The previous prime is 104361421. The next prime is 104361493. The reversal of 104361440 is 44163401.

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 7 ways as a sum of consecutive naturals, for example, 59780 + ... + 61500.

It is an arithmetic number, because the mean of its divisors is an integer number (5153085).

Almost surely, 2104361440 is an apocalyptic number.

104361440 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 104361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123674040).

104361440 is an abundant number, since it is smaller than the sum of its proper divisors (142986640).

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

104361440 is a wasteful number, since it uses less digits than its factorization.

104361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 104361440 is about 10215.7447109841. The cubic root of 104361440 is about 470.8110938060.

The spelling of 104361440 in words is "one hundred four million, three hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1721 1895 3032 3442 3790 6064 6884 7580 8605 12128 13768 15160 17210 27536 30320 34420 55072 60640 68840 137680 275360 652259 1304518 2609036 3261295 5218072 6522590 10436144 13045180 20872288 26090360 52180720 104361440