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104838804 = 223274173139
BaseRepresentation
bin1100011111110…
…11011010010100
321022021100210200
412033323122110
5203314320204
614223020500
72412054330
oct617733224
9238240720
10104838804
11541a6a44
122b13a730
13189490c5
14dcd07c0
15930d539
hex63fb694

104838804 has 144 divisors (see below), whose sum is σ = 316767360. Its totient is φ = 28615680.

The previous prime is 104838803. The next prime is 104838817. The reversal of 104838804 is 408838401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104838803) 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, 754167 + ... + 754305.

Almost surely, 2104838804 is an apocalyptic number.

104838804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104838804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158383680).

104838804 is an abundant number, since it is smaller than the sum of its proper divisors (211928556).

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

104838804 is a wasteful number, since it uses less digits than its factorization.

104838804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 104838804 is about 10239.0821854305. The cubic root of 104838804 is about 471.5278542568.

The spelling of 104838804 in words is "one hundred four million, eight hundred thirty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 73 82 84 123 126 139 146 164 219 246 252 278 287 292 369 417 438 492 511 556 574 657 738 834 861 876 973 1022 1148 1251 1314 1476 1533 1668 1722 1946 2044 2502 2583 2628 2919 2993 3066 3444 3892 4599 5004 5166 5699 5838 5986 6132 8757 8979 9198 10147 10332 11398 11676 11972 17097 17514 17958 18396 20294 20951 22796 26937 30441 34194 35028 35916 39893 40588 41902 51291 53874 60882 62853 68388 71029 79786 83804 91323 102582 107748 119679 121764 125706 142058 159572 182646 188559 205164 213087 239358 251412 284116 359037 365292 377118 416027 426174 478716 639261 718074 754236 832054 852348 1248081 1278522 1436148 1664108 2496162 2557044 2912189 3744243 4992324 5824378 7488486 8736567 11648756 14976972 17473134 26209701 34946268 52419402 104838804