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104166080 = 2652314153
BaseRepresentation
bin1100011010101…
…11001011000000
321021000011222222
412031113023000
5203131303310
614200350212
72403253124
oct615271300
9237004888
10104166080
1153887577
122aa75368
1318771b45
14db97584
159229055
hex63572c0

104166080 has 56 divisors (see below), whose sum is σ = 258848352. Its totient is φ = 39852032.

The previous prime is 104166071. The next prime is 104166119. The reversal of 104166080 is 80661401.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284 + ... + 14436.

It is an arithmetic number, because the mean of its divisors is an integer number (4622292).

Almost surely, 2104166080 is an apocalyptic number.

104166080 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 104166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129424176).

104166080 is an abundant number, since it is smaller than the sum of its proper divisors (154682272).

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

104166080 is a wasteful number, since it uses less digits than its factorization.

104166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 104166080 is about 10206.1785208765. The cubic root of 104166080 is about 470.5171311197.

The spelling of 104166080 in words is "one hundred four million, one hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 14153 28306 56612 70765 113224 141530 226448 283060 325519 452896 566120 651038 905792 1132240 1302076 1627595 2264480 2604152 3255190 4528960 5208304 6510380 10416608 13020760 20833216 26041520 52083040 104166080