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104117400 = 2334526427
BaseRepresentation
bin1100011010010…
…11010010011000
321020220201020000
412031023102120
5203123224100
614155333000
72402661162
oct615132230
9236821200
10104117400
1153853a42
122aa51160
131875593a
14db83932
159219900
hex634b498

104117400 has 120 divisors (see below), whose sum is σ = 361671420. Its totient is φ = 27760320.

The previous prime is 104117399. The next prime is 104117411. The reversal of 104117400 is 4711401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12987 + ... + 19413.

Almost surely, 2104117400 is an apocalyptic number.

104117400 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 104117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835710).

104117400 is an abundant number, since it is smaller than the sum of its proper divisors (257554020).

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

104117400 is a wasteful number, since it uses less digits than its factorization.

104117400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 104117400 is about 10203.7934122561. The cubic root of 104117400 is about 470.4438240095.

Adding to 104117400 its reverse (4711401), we get a palindrome (108828801).

The spelling of 104117400 in words is "one hundred four million, one hundred seventeen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 6427 8100 12854 16200 19281 25708 32135 38562 51416 57843 64270 77124 96405 115686 128540 154248 160675 173529 192810 231372 257080 289215 321350 347058 385620 462744 482025 520587 578430 642700 694116 771240 867645 964050 1041174 1156860 1285400 1388232 1446075 1735290 1928100 2082348 2313720 2602935 2892150 3470580 3856200 4164696 4338225 5205870 5784300 6941160 8676450 10411740 11568600 13014675 17352900 20823480 26029350 34705800 52058700 104117400