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104445820 = 225293137157
BaseRepresentation
bin1100011100110…
…11011101111100
321021112101201201
412032123131330
5203214231240
614210345244
72405526523
oct616333574
9237471651
10104445820
1153a58766
122ab8b224
131883c27b
14dc2b4ba
159281d9a
hex639b77c

104445820 has 96 divisors (see below), whose sum is σ = 242081280. Its totient is φ = 37739520.

The previous prime is 104445767. The next prime is 104445827. The reversal of 104445820 is 28544401.

104445820 = T464 + T465 + ... + T898.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104445827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665182 + ... + 665338.

It is an arithmetic number, because the mean of its divisors is an integer number (2521680).

Almost surely, 2104445820 is an apocalyptic number.

104445820 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 104445820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121040640).

104445820 is an abundant number, since it is smaller than the sum of its proper divisors (137635460).

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

104445820 is a wasteful number, since it uses less digits than its factorization.

104445820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 104445820 is about 10219.8737761285. The cubic root of 104445820 is about 470.9379488909.

It can be divided in two parts, 1044 and 45820, that added together give a palindrome (46864).

The spelling of 104445820 in words is "one hundred four million, four hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 37 58 62 74 116 124 145 148 155 157 185 290 310 314 370 580 620 628 740 785 899 1073 1147 1570 1798 2146 2294 3140 3596 4292 4495 4553 4588 4867 5365 5735 5809 8990 9106 9734 10730 11470 11618 17980 18212 19468 21460 22765 22940 23236 24335 29045 33263 45530 48670 58090 66526 91060 97340 116180 133052 141143 166315 168461 180079 282286 332630 336922 360158 564572 665260 673844 705715 720316 842305 900395 1411430 1684610 1800790 2822860 3369220 3601580 5222291 10444582 20889164 26111455 52222910 104445820