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104566140 = 2234579221
BaseRepresentation
bin1100011101110…
…00110101111100
321021202111210000
412032320311330
5203232104030
614213114300
72406540360
oct616706574
9237674700
10104566140
11540300a8
122b028990
1318881c73
14dc5d2a0
1592a7860
hex63b8d7c

104566140 has 120 divisors (see below), whose sum is σ = 374929632. Its totient is φ = 23898240.

The previous prime is 104566123. The next prime is 104566151. The reversal of 104566140 is 41665401.

104566140 is a `hidden beast` number, since 1 + 0 + 45 + 6 + 614 + 0 = 666.

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

It is a congruent number.

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, 6730 + ... + 15950.

Almost surely, 2104566140 is an apocalyptic number.

104566140 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 104566140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187464816).

104566140 is an abundant number, since it is smaller than the sum of its proper divisors (270363492).

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

104566140 is a wasteful number, since it uses less digits than its factorization.

104566140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104566140 is about 10225.7586515622. The cubic root of 104566140 is about 471.1187172852.

The spelling of 104566140 in words is "one hundred four million, five hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 9221 11340 18442 27663 36884 46105 55326 64547 82989 92210 110652 129094 138315 165978 184420 193641 248967 258188 276630 322735 331956 387282 414945 497934 553260 580923 645470 746901 774564 829890 968205 995868 1161846 1244835 1290940 1493802 1659780 1742769 1936410 2323692 2489670 2904615 2987604 3485538 3734505 3872820 4979340 5228307 5809230 6971076 7469010 8713845 10456614 11618460 14938020 17427690 20913228 26141535 34855380 52283070 104566140