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104126148 = 22347311481
BaseRepresentation
bin1100011010011…
…01011011000100
321020221011020000
412031031123010
5203124014043
614155441300
72403025530
oct615153304
9236834200
10104126148
115385a575
122aa56230
1318759909
14db86bc0
15921c2d3
hex634d6c4

104126148 has 120 divisors (see below), whose sum is σ = 321345024. Its totient is φ = 28771200.

The previous prime is 104126119. The next prime is 104126159. The reversal of 104126148 is 841621401.

It is a happy number.

104126148 is a `hidden beast` number, since 1 + 0 + 41 + 2 + 614 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 69568 + ... + 71048.

Almost surely, 2104126148 is an apocalyptic number.

104126148 is a gapful number since it is divisible by the number (18) 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 104126148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160672512).

104126148 is an abundant number, since it is smaller than the sum of its proper divisors (217218876).

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

104126148 is a wasteful number, since it uses less digits than its factorization.

104126148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104126148 is about 10204.2220673602. Note that the first 3 decimals coincide. The cubic root of 104126148 is about 470.4569992883.

Adding to 104126148 its reverse (841621401), we get a palindrome (945747549).

The spelling of 104126148 in words is "one hundred four million, one hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1481 1674 1953 2268 2511 2604 2962 3348 3906 4443 5022 5859 5924 7812 8886 10044 10367 11718 13329 17577 17772 20734 23436 26658 31101 35154 39987 41468 45911 53316 62202 70308 79974 91822 93303 119961 124404 137733 159948 183644 186606 239922 275466 279909 321377 373212 413199 479844 550932 559818 642754 826398 839727 964131 1119636 1239597 1285508 1652796 1679454 1928262 2479194 2892393 3358908 3718791 3856524 4958388 5784786 7437582 8677179 11569572 14875164 17354358 26031537 34708716 52063074 104126148