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206104920 = 233571311873
BaseRepresentation
bin11000100100011…
…10100101011000
3112100211012210120
430102032211120
5410230324140
632241313240
75051601660
oct1422164530
9470735716
10206104920
11a638274a
1259035820
1333913c98
141d5311a0
15131631d0
hexc48e958

206104920 has 128 divisors (see below), whose sum is σ = 712419840. Its totient is φ = 46725120.

The previous prime is 206104903. The next prime is 206104949. The reversal of 206104920 is 29401602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109104 + ... + 110976.

It is an arithmetic number, because the mean of its divisors is an integer number (5565780).

Almost surely, 2206104920 is an apocalyptic number.

206104920 is a gapful number since it is divisible by the number (20) 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 206104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356209920).

206104920 is an abundant number, since it is smaller than the sum of its proper divisors (506314920).

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

206104920 is a wasteful number, since it uses less digits than its factorization.

206104920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 206104920 is about 14356.3546905195. The cubic root of 206104920 is about 590.6943085429.

The spelling of 206104920 in words is "two hundred six million, one hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1873 1965 2620 2751 3144 3668 3746 3930 4585 5240 5502 5619 7336 7492 7860 9170 9365 11004 11238 13111 13755 14984 15720 18340 18730 22008 22476 26222 27510 28095 36680 37460 39333 44952 52444 55020 56190 65555 74920 78666 104888 110040 112380 131110 157332 196665 224760 245363 262220 314664 393330 490726 524440 736089 786660 981452 1226815 1472178 1573320 1717541 1962904 2453630 2944356 3435082 3680445 4907260 5152623 5888712 6870164 7360890 8587705 9814520 10305246 13740328 14721780 17175410 20610492 25763115 29443560 34350820 41220984 51526230 68701640 103052460 206104920