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104416290 = 23451111719
BaseRepresentation
bin1100011100101…
…00010000100010
321021110220020000
412032110100202
5203212310130
614210000430
72405344446
oct616242042
9237426200
10104416290
1153a38560
122ab76116
131882b9b4
14dc20826
159278260
hex6394422

104416290 has 80 divisors (see below), whose sum is σ = 306313920. Its totient is φ = 25310880.

The previous prime is 104416289. The next prime is 104416303. The reversal of 104416290 is 92614401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3051 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (3828924).

Almost surely, 2104416290 is an apocalyptic number.

104416290 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 104416290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153156960).

104416290 is an abundant number, since it is smaller than the sum of its proper divisors (201897630).

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

104416290 is a wasteful number, since it uses less digits than its factorization.

104416290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11749 (or 11740 counting only the distinct ones).

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

The square root of 104416290 is about 10218.4289399105. The cubic root of 104416290 is about 470.8935618953.

The spelling of 104416290 in words is "one hundred four million, four hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 11719 23438 35157 58595 70314 105471 117190 128909 175785 210942 257818 316413 351570 386727 527355 632826 644545 773454 949239 1054710 1160181 1289090 1582065 1898478 1933635 2320362 3164130 3480543 3867270 4746195 5800905 6961086 9492390 10441629 11601810 17402715 20883258 34805430 52208145 104416290