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104461920 = 2533524181
BaseRepresentation
bin1100011100111…
…11011001100000
321021120012211000
412032133121200
5203220240140
614210552000
72405624463
oct616373140
9237505730
10104461920
1153a69872
122ab98600
13188466b4
14dc332da
159286a30
hex639f660

104461920 has 96 divisors (see below), whose sum is σ = 365631840. Its totient is φ = 27855360.

The previous prime is 104461913. The next prime is 104461927. The reversal of 104461920 is 29164401.

104461920 is a `hidden beast` number, since 1 + 0 + 44 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104461913) and next prime (104461927).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104461927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7771 + ... + 16410.

It is an arithmetic number, because the mean of its divisors is an integer number (3808665).

Almost surely, 2104461920 is an apocalyptic number.

104461920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104461920 is an abundant number, since it is smaller than the sum of its proper divisors (261169920).

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

104461920 is a wasteful number, since it uses less digits than its factorization.

104461920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24205 (or 24191 counting only the distinct ones).

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

The square root of 104461920 is about 10220.6614267375. The cubic root of 104461920 is about 470.9621455236.

The spelling of 104461920 in words is "one hundred four million, four hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 24181 48362 72543 96724 120905 145086 193448 217629 241810 290172 362715 386896 435258 483620 580344 652887 725430 773792 870516 967240 1088145 1160688 1305774 1450860 1741032 1934480 2176290 2321376 2611548 2901720 3264435 3482064 3868960 4352580 5223096 5803440 6528870 6964128 8705160 10446192 11606880 13057740 17410320 20892384 26115480 34820640 52230960 104461920