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104013144 = 233219139547
BaseRepresentation
bin1100011001100…
…01110101011000
321020201102012200
412030301311120
5203111410034
614153210200
72402045214
oct614616530
9236642180
10104013144
1153792684
122aa00960
131871a351
14db57944
1591e8a99
hex6331d58

104013144 has 96 divisors (see below), whose sum is σ = 299208000. Its totient is φ = 32550336.

The previous prime is 104013137. The next prime is 104013149. The reversal of 104013144 is 441310401.

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 (104013149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 189879 + ... + 190425.

It is an arithmetic number, because the mean of its divisors is an integer number (3116750).

Almost surely, 2104013144 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 104013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149604000).

104013144 is an abundant number, since it is smaller than the sum of its proper divisors (195194856).

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

104013144 is a wasteful number, since it uses less digits than its factorization.

104013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104013144 is about 10198.6834444452. The cubic root of 104013144 is about 470.2867482116.

Adding to 104013144 its reverse (441310401), we get a palindrome (545323545).

The spelling of 104013144 in words is "one hundred four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 139 152 171 228 278 342 417 456 547 556 684 834 1094 1112 1251 1368 1641 1668 2188 2502 2641 3282 3336 4376 4923 5004 5282 6564 7923 9846 10008 10393 10564 13128 15846 19692 20786 21128 23769 31179 31692 39384 41572 47538 62358 63384 76033 83144 93537 95076 124716 152066 187074 190152 228099 249432 304132 374148 456198 608264 684297 748296 912396 1368594 1444627 1824792 2737188 2889254 4333881 5474376 5778508 8667762 11557016 13001643 17335524 26003286 34671048 52006572 104013144