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104051142 = 2351343383
BaseRepresentation
bin1100011001110…
…11000111000110
321020210100100000
412030323013012
5203114114032
614154102130
72402264046
oct614730706
9236710300
10104051142
1153809188
122aa1a946
1318731730
14db67726
159204e7c
hex633b1c6

104051142 has 96 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 31189536.

The previous prime is 104051119. The next prime is 104051147. The reversal of 104051142 is 241150401.

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 (104051147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271483 + ... + 271865.

It is an arithmetic number, because the mean of its divisors is an integer number (2690688).

Almost surely, 2104051142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104051142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

104051142 is an abundant number, since it is smaller than the sum of its proper divisors (154254906).

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

104051142 is a wasteful number, since it uses less digits than its factorization.

104051142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104051142 is about 10200.5461618484. The cubic root of 104051142 is about 470.3440095010.

The spelling of 104051142 in words is "one hundred four million, fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 243 258 351 383 387 486 559 702 766 774 1053 1118 1149 1161 1677 2106 2298 2322 3159 3354 3447 3483 4979 5031 6318 6894 6966 9958 10062 10341 10449 14937 15093 16469 20682 20898 29874 30186 31023 32938 44811 45279 49407 62046 89622 90558 93069 98814 134433 135837 148221 186138 214097 268866 271674 296442 403299 428194 444663 642291 806598 889326 1209897 1284582 1333989 1926873 2419794 2667978 3853746 4001967 5780619 8003934 11561238 17341857 34683714 52025571 104051142