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104644064 = 2572989181
BaseRepresentation
bin1100011110010…
…11110111100000
321021220110200002
412033023313200
5203242102224
614214515132
72410313510
oct617136740
9237813602
10104644064
11540836a8
122b065aa8
13188ab585
14dc7d840
1592c09ae
hex63cbde0

104644064 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 42577920.

The previous prime is 104644051. The next prime is 104644079. The reversal of 104644064 is 460446401.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578054 + ... + 578234.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2104644064 is an apocalyptic number.

104644064 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 104644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

104644064 is an abundant number, since it is smaller than the sum of its proper divisors (143021536).

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

104644064 is a wasteful number, since it uses less digits than its factorization.

104644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 104644064 is about 10229.5681238261. The cubic root of 104644064 is about 471.2357160875.

The spelling of 104644064 in words is "one hundred four million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 89 112 116 178 181 203 224 232 356 362 406 464 623 712 724 812 928 1246 1267 1424 1448 1624 2492 2534 2581 2848 2896 3248 4984 5068 5162 5249 5792 6496 9968 10136 10324 10498 16109 18067 19936 20272 20648 20996 32218 36134 36743 40544 41296 41992 64436 72268 73486 82592 83984 112763 128872 144536 146972 167968 225526 257744 289072 293944 451052 467161 515488 578144 587888 902104 934322 1175776 1804208 1868644 3270127 3608416 3737288 6540254 7474576 13080508 14949152 26161016 52322032 104644064