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104016150 = 2355271223
BaseRepresentation
bin1100011001100…
…10100100010110
321020201120100000
412030302210112
5203112004100
614153232130
72402060040
oct614624426
9236646300
10104016150
1153794967
122aa02646
131871b824
14db58a90
1591e9900
hex6332916

104016150 has 144 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 23755680.

The previous prime is 104016131. The next prime is 104016179. The reversal of 104016150 is 51610401.

104016150 is a `hidden beast` number, since 10 + 40 + 1 + 615 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84439 + ... + 85661.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2104016150 is an apocalyptic number.

104016150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104016150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

104016150 is an abundant number, since it is smaller than the sum of its proper divisors (227462634).

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

104016150 is a wasteful number, since it uses less digits than its factorization.

104016150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 104016150 is about 10198.8308153435. The cubic root of 104016150 is about 470.2912786273.

Adding to 104016150 its reverse (51610401), we get a palindrome (155626551).

The spelling of 104016150 in words is "one hundred four million, sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1223 1350 1575 1701 1890 2025 2430 2446 2835 3150 3402 3669 4050 4725 5670 6075 6115 7338 8505 8561 9450 11007 12150 12230 14175 17010 17122 18345 22014 25683 28350 30575 33021 36690 42525 42805 51366 55035 61150 66042 77049 85050 85610 91725 99063 110070 128415 154098 165105 183450 198126 214025 231147 256830 275175 297189 330210 385245 428050 462294 495315 550350 594378 642075 693441 770490 825525 990630 1155735 1284150 1386882 1485945 1651050 1926225 2080323 2311470 2476575 2971890 3467205 3852450 4160646 4953150 5778675 6934410 7429725 10401615 11557350 14859450 17336025 20803230 34672050 52008075 104016150