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104396742 = 2334161773
BaseRepresentation
bin1100011100011…
…11011111000110
321021102220102000
412032033133012
5203211143432
614205330130
72405233452
oct616173706
9237386360
10104396742
1153a248aa
122ab66946
1318822b28
14dc17662
15927257c
hex638f7c6

104396742 has 64 divisors (see below), whose sum is σ = 241859520. Its totient is φ = 33350400.

The previous prime is 104396737. The next prime is 104396753. The reversal of 104396742 is 247693401.

It is a junction number, because it is equal to n+sod(n) for n = 104396697 and 104396706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134668 + ... + 135440.

It is an arithmetic number, because the mean of its divisors is an integer number (3779055).

Almost surely, 2104396742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104396742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120929760).

104396742 is an abundant number, since it is smaller than the sum of its proper divisors (137462778).

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

104396742 is a wasteful number, since it uses less digits than its factorization.

104396742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 104396742 is about 10217.4723880224. The cubic root of 104396742 is about 470.8641743931.

The spelling of 104396742 in words is "one hundred four million, three hundred ninety-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 61 82 122 123 183 246 366 369 549 738 773 1098 1107 1546 1647 2214 2319 2501 3294 4638 5002 6957 7503 13914 15006 20871 22509 31693 41742 45018 47153 63386 67527 94306 95079 135054 141459 190158 282918 285237 424377 570474 848754 855711 1273131 1711422 1933273 2546262 3866546 5799819 11599638 17399457 34798914 52198371 104396742