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104189520 = 2435538191
BaseRepresentation
bin1100011010111…
…00111001010000
321021001101011010
412031130321100
5203133031040
614201050520
72403411351
oct615347120
9237041133
10104189520
11538a3146
122aa86a40
131877c706
14dba1d28
159230e80
hex635ce50

104189520 has 80 divisors (see below), whose sum is σ = 329121792. Its totient is φ = 27256320.

The previous prime is 104189513. The next prime is 104189531. The reversal of 104189520 is 25981401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 8625 + ... + 16815.

Almost surely, 2104189520 is an apocalyptic number.

104189520 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 104189520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164560896).

104189520 is an abundant number, since it is smaller than the sum of its proper divisors (224932272).

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

104189520 is a wasteful number, since it uses less digits than its factorization.

104189520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 104189520 is about 10207.3267803083. The cubic root of 104189520 is about 470.5524212205.

The spelling of 104189520 in words is "one hundred four million, one hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 8191 12720 16382 24573 32764 40955 49146 65528 81910 98292 122865 131056 163820 196584 245730 327640 393168 434123 491460 655280 868246 982920 1302369 1736492 1965840 2170615 2604738 3472984 4341230 5209476 6511845 6945968 8682460 10418952 13023690 17364920 20837904 26047380 34729840 52094760 104189520