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104010144 = 2537222111
BaseRepresentation
bin1100011001100…
…01000110100000
321020201021002120
412030301012200
5203111311034
614153144240
72402033400
oct614610640
9236637076
10104010144
11537903a7
122a9bb080
1318718b84
14db56800
1591e7c49
hex63311a0

104010144 has 72 divisors (see below), whose sum is σ = 317616768. Its totient is φ = 29715840.

The previous prime is 104010143. The next prime is 104010149. The reversal of 104010144 is 441010401.

It is a super-2 number, since 2×1040101442 = 21636220109801472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104010143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6352 + ... + 15759.

It is an arithmetic number, because the mean of its divisors is an integer number (4411344).

Almost surely, 2104010144 is an apocalyptic number.

104010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104010144 is an abundant number, since it is smaller than the sum of its proper divisors (213606624).

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

104010144 is a wasteful number, since it uses less digits than its factorization.

104010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22138 (or 22123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104010144 is about 10198.5363655772. The cubic root of 104010144 is about 470.2822267516.

Adding to 104010144 its reverse (441010401), we get a palindrome (545020545).

The spelling of 104010144 in words is "one hundred four million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 22111 44222 66333 88444 132666 154777 176888 265332 309554 353776 464331 530664 619108 707552 928662 1061328 1083439 1238216 1857324 2122656 2166878 2476432 3250317 3714648 4333756 4952864 6500634 7429296 8667512 13001268 14858592 17335024 26002536 34670048 52005072 104010144