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104171040 = 2532572341
BaseRepresentation
bin1100011010110…
…00011000100000
321021000102210200
412031120120200
5203131433130
614200425200
72403303441
oct615303040
9237012720
10104171040
1153890276
122aa78200
131877418c
14db992c8
15922a760
hex6358620

104171040 has 72 divisors (see below), whose sum is σ = 355488588. Its totient is φ = 27778560.

The previous prime is 104171033. The next prime is 104171063. The reversal of 104171040 is 40171401.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 2322576 = 10092^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34731 + ... + 37610.

Almost surely, 2104171040 is an apocalyptic number.

104171040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104171040 is an abundant number, since it is smaller than the sum of its proper divisors (251317548).

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

104171040 is a wasteful number, since it uses less digits than its factorization.

104171040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72362 (or 72351 counting only the distinct ones).

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

The square root of 104171040 is about 10206.4215080507. The cubic root of 104171040 is about 470.5245990911.

The spelling of 104171040 in words is "one hundred four million, one hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 72341 144682 217023 289364 361705 434046 578728 651069 723410 868092 1085115 1157456 1302138 1446820 1736184 2170230 2314912 2604276 2893640 3255345 3472368 4340460 5208552 5787280 6510690 6944736 8680920 10417104 11574560 13021380 17361840 20834208 26042760 34723680 52085520 104171040