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104115000 = 2335411631
BaseRepresentation
bin1100011010010…
…10101100111000
321020220120221010
412031022230320
5203123140000
614155313520
72402651163
oct615125470
9236816833
10104115000
1153852160
122aa4b8a0
1318754812
14db82ada
159218d50
hex634ab38

104115000 has 160 divisors (see below), whose sum is σ = 355386240. Its totient is φ = 25200000.

The previous prime is 104114903. The next prime is 104115007. The reversal of 104115000 is 511401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104115007) 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 39 ways as a sum of consecutive naturals, for example, 164685 + ... + 165315.

It is an arithmetic number, because the mean of its divisors is an integer number (2221164).

Almost surely, 2104115000 is an apocalyptic number.

104115000 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 104115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177693120).

104115000 is an abundant number, since it is smaller than the sum of its proper divisors (251271240).

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

104115000 is a wasteful number, since it uses less digits than its factorization.

104115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 104115000 is about 10203.6758082566. The cubic root of 104115000 is about 470.4402092636.

Adding to 104115000 its reverse (511401), we get a palindrome (104626401).

The spelling of 104115000 in words is "one hundred four million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 631 660 750 825 1000 1100 1250 1262 1320 1375 1500 1650 1875 1893 2200 2500 2524 2750 3000 3155 3300 3750 3786 4125 5000 5048 5500 6310 6600 6875 6941 7500 7572 8250 9465 11000 12620 13750 13882 15000 15144 15775 16500 18930 20625 20823 25240 27500 27764 31550 33000 34705 37860 41250 41646 47325 55000 55528 63100 69410 75720 78875 82500 83292 94650 104115 126200 138820 157750 165000 166584 173525 189300 208230 236625 277640 315500 347050 378600 394375 416460 473250 520575 631000 694100 788750 832920 867625 946500 1041150 1183125 1388200 1577500 1735250 1893000 2082300 2366250 2602875 3155000 3470500 4164600 4338125 4732500 5205750 6941000 8676250 9465000 10411500 13014375 17352500 20823000 26028750 34705000 52057500 104115000