Search a number
-
+
104396160 = 2735114943
BaseRepresentation
bin1100011100011…
…11010110000000
321021102212121110
412032033112000
5203211134120
614205323320
72405231661
oct616172600
9237385543
10104396160
1153a24420
122ab66540
131882279b
14dc17368
1592722e0
hex638f580

104396160 has 128 divisors (see below), whose sum is σ = 363087360. Its totient is φ = 25303040.

The previous prime is 104396107. The next prime is 104396161. The reversal of 104396160 is 61693401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104396161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18649 + ... + 23591.

It is an arithmetic number, because the mean of its divisors is an integer number (2836620).

Almost surely, 2104396160 is an apocalyptic number.

104396160 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 104396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181543680).

104396160 is an abundant number, since it is smaller than the sum of its proper divisors (258691200).

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

104396160 is a wasteful number, since it uses less digits than its factorization.

104396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 104396160 is about 10217.4439073577. The cubic root of 104396160 is about 470.8632993867.

The spelling of 104396160 in words is "one hundred four million, three hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 4943 5280 7040 9886 10560 14829 19772 21120 24715 29658 39544 49430 54373 59316 74145 79088 98860 108746 118632 148290 158176 163119 197720 217492 237264 271865 296580 316352 326238 395440 434984 474528 543730 593160 632704 652476 790880 815595 869968 949056 1087460 1186320 1304952 1581760 1631190 1739936 1898112 2174920 2372640 2609904 3163520 3262380 3479872 4349840 4745280 5219808 6524760 6959744 8699680 9490560 10439616 13049520 17399360 20879232 26099040 34798720 52198080 104396160