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104174240 = 2553717597
BaseRepresentation
bin1100011010110…
…01001010100000
321021000121012012
412031121022200
5203132033430
614200452052
72403315662
oct615311240
9237017165
10104174240
1153892715
122aa7a028
1318775781
14db9a532
15922b695
hex63592a0

104174240 has 48 divisors (see below), whose sum is σ = 252777672. Its totient is φ = 40541184.

The previous prime is 104174221. The next prime is 104174263. The reversal of 104174240 is 42471401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75829264 + 28344976 = 8708^2 + 5324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2879 + ... + 14718.

Almost surely, 2104174240 is an apocalyptic number.

104174240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104174240 is an abundant number, since it is smaller than the sum of its proper divisors (148603432).

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

104174240 is a wasteful number, since it uses less digits than its factorization.

104174240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17649 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 104174240 is about 10206.5782708996. The cubic root of 104174240 is about 470.5294170114.

The spelling of 104174240 in words is "one hundred four million, one hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 17597 35194 70388 87985 140776 175970 281552 351940 563104 651089 703880 1302178 1407760 2604356 2815520 3255445 5208712 6510890 10417424 13021780 20834848 26043560 52087120 104174240