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104174200 = 235213103389
BaseRepresentation
bin1100011010110…
…01001001111000
321021000121010201
412031121021320
5203132033300
614200451544
72403315604
oct615311170
9237017121
10104174200
1153892689
122aa79bb4
1318775750
14db9a504
15922b66a
hex6359278

104174200 has 96 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 37992960.

The previous prime is 104174197. The next prime is 104174201. The reversal of 104174200 is 2471401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104174201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267606 + ... + 267994.

It is an arithmetic number, because the mean of its divisors is an integer number (2750475).

Almost surely, 2104174200 is an apocalyptic number.

104174200 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 104174200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022800).

104174200 is an abundant number, since it is smaller than the sum of its proper divisors (159871400).

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

104174200 is a wasteful number, since it uses less digits than its factorization.

104174200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 104174200 is about 10206.5763113789. The cubic root of 104174200 is about 470.5293567880.

The spelling of 104174200 in words is "one hundred four million, one hundred seventy-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 130 200 206 260 325 389 412 515 520 650 778 824 1030 1300 1339 1556 1945 2060 2575 2600 2678 3112 3890 4120 5057 5150 5356 6695 7780 9725 10114 10300 10712 13390 15560 19450 20228 20600 25285 26780 33475 38900 40067 40456 50570 53560 66950 77800 80134 101140 126425 133900 160268 200335 202280 252850 267800 320536 400670 505700 520871 801340 1001675 1011400 1041742 1602680 2003350 2083484 2604355 4006700 4166968 5208710 8013400 10417420 13021775 20834840 26043550 52087100 104174200