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104015142 = 232721171151
BaseRepresentation
bin1100011001100…
…10010100100110
321020201111221200
412030302110212
5203111441032
614153223330
72402054100
oct614622446
9236644850
10104015142
1153794130
122aa01b46
131871b22a
14db58570
1591e947c
hex6332526

104015142 has 144 divisors (see below), whose sum is σ = 291942144. Its totient is φ = 26460000.

The previous prime is 104015123. The next prime is 104015189. The reversal of 104015142 is 241510401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 688767 + ... + 688917.

It is an arithmetic number, because the mean of its divisors is an integer number (2027376).

Almost surely, 2104015142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104015142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145971072).

104015142 is an abundant number, since it is smaller than the sum of its proper divisors (187927002).

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

104015142 is a wasteful number, since it uses less digits than its factorization.

104015142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

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

The square root of 104015142 is about 10198.7813977945. The cubic root of 104015142 is about 470.2897594557.

Adding to 104015142 its reverse (241510401), we get a palindrome (345525543).

The spelling of 104015142 in words is "one hundred four million, fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 71 77 98 99 126 142 147 151 154 198 213 231 294 302 426 441 453 462 497 539 639 693 781 882 906 994 1057 1078 1278 1359 1386 1491 1562 1617 1661 2114 2343 2718 2982 3171 3234 3322 3479 4473 4686 4851 4983 5467 6342 6958 7029 7399 8946 9513 9702 9966 10437 10721 10934 11627 14058 14798 14949 16401 19026 20874 21442 22197 23254 29898 31311 32163 32802 34881 38269 44394 49203 62622 64326 66591 69762 75047 76538 81389 96489 98406 104643 114807 117931 133182 150094 162778 192978 209286 225141 229614 235862 244167 344421 353793 450282 488334 525329 675423 688842 707586 732501 825517 1050658 1061379 1350846 1465002 1575987 1651034 2122758 2476551 3151974 4727961 4953102 5778619 7429653 9455922 11557238 14859306 17335857 34671714 52007571 104015142