Search a number
-
+
104130054 = 23273153503
BaseRepresentation
bin1100011010011…
…10011000000110
321020221100120200
412031032120012
5203124130204
614155511330
72403043110
oct615163006
9236840520
10104130054
11538624a6
122aa58546
131875b622
14db883b0
15921d539
hex634e606

104130054 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 28192320.

The previous prime is 104130041. The next prime is 104130067. The reversal of 104130054 is 450031401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104130041) and next prime (104130067).

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 47 ways as a sum of consecutive naturals, for example, 206767 + ... + 207269.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2104130054 is an apocalyptic number.

104130054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104130054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

104130054 is an abundant number, since it is smaller than the sum of its proper divisors (167594490).

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

104130054 is a wasteful number, since it uses less digits than its factorization.

104130054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104130054 is about 10204.4134569313. The cubic root of 104130054 is about 470.4628818391.

Adding to 104130054 its reverse (450031401), we get a palindrome (554161455).

The spelling of 104130054 in words is "one hundred four million, one hundred thirty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 53 62 63 93 106 126 159 186 217 279 318 371 434 477 503 558 651 742 954 1006 1113 1302 1509 1643 1953 2226 3018 3286 3339 3521 3906 4527 4929 6678 7042 9054 9858 10563 11501 14787 15593 21126 23002 26659 29574 31186 31689 34503 46779 53318 63378 69006 79977 93558 103509 109151 140337 159954 186613 207018 218302 239931 280674 327453 373226 479862 559839 654906 826429 982359 1119678 1652858 1679517 1964718 2479287 3359034 4958574 5785003 7437861 11570006 14875722 17355009 34710018 52065027 104130054