Search a number
-
+
104170104 = 23334191151
BaseRepresentation
bin1100011010110…
…00001001111000
321021000101112000
412031120021320
5203131420404
614200421000
72403300633
oct615301170
9237011460
10104170104
115388a5a5
122aa77760
131877391c
14db98c1a
15922a339
hex6358278

104170104 has 64 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 34610400.

The previous prime is 104170093. The next prime is 104170109. The reversal of 104170104 is 401071401.

104170104 = T17 + T18 + ... + T854.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104170109) 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, 89929 + ... + 91079.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2104170104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104170104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

104170104 is an abundant number, since it is smaller than the sum of its proper divisors (186133896).

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

104170104 is a wasteful number, since it uses less digits than its factorization.

104170104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 104170104 is about 10206.3756544623. The cubic root of 104170104 is about 470.5231898308.

The spelling of 104170104 in words is "one hundred four million, one hundred seventy thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 838 1151 1257 1676 2302 2514 3352 3453 3771 4604 5028 6906 7542 9208 10056 10359 11313 13812 15084 20718 22626 27624 30168 31077 41436 45252 62154 82872 90504 124308 248616 482269 964538 1446807 1929076 2893614 3858152 4340421 5787228 8680842 11574456 13021263 17361684 26042526 34723368 52085052 104170104