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104426190 = 232511313337
BaseRepresentation
bin1100011100101…
…10101011001110
321021111101210200
412032112223032
5203213114230
614210114330
72405415351
oct616265316
9237441720
10104426190
1153a44a40
122ab7b9a6
131883335b
14dc24298
15927b160
hex6396ace

104426190 has 96 divisors (see below), whose sum is σ = 298018656. Its totient is φ = 25159680.

The previous prime is 104426183. The next prime is 104426191. The reversal of 104426190 is 91624401.

104426190 is a `hidden beast` number, since 1 + 0 + 4 + 42 + 619 + 0 = 666.

It is a super-2 number, since 2×1044261902 = 21809658315832200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104426191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309702 + ... + 310038.

It is an arithmetic number, because the mean of its divisors is an integer number (3104361).

Almost surely, 2104426190 is an apocalyptic number.

104426190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104426190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149009328).

104426190 is an abundant number, since it is smaller than the sum of its proper divisors (193592466).

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

104426190 is a wasteful number, since it uses less digits than its factorization.

104426190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104426190 is about 10218.9133473183. The cubic root of 104426190 is about 470.9084436694.

The spelling of 104426190 in words is "one hundred four million, four hundred twenty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 313 330 337 495 626 674 939 990 1011 1565 1685 1878 2022 2817 3033 3130 3370 3443 3707 4695 5055 5634 6066 6886 7414 9390 10110 10329 11121 14085 15165 17215 18535 20658 22242 28170 30330 30987 33363 34430 37070 51645 55605 61974 66726 103290 105481 111210 154935 166815 210962 309870 316443 333630 527405 632886 949329 1054810 1160291 1582215 1898658 2320582 3164430 3480873 4746645 5801455 6961746 9493290 10442619 11602910 17404365 20885238 34808730 52213095 104426190