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104645376 = 2832114129
BaseRepresentation
bin1100011110011…
…00001100000000
321021220112110200
412033030030000
5203242123001
614214525200
72410320363
oct617141400
9237815420
10104645376
1154084690
122b066800
13188ac054
14dc800da
1592c1086
hex63cc300

104645376 has 108 divisors (see below), whose sum is σ = 329227080. Its totient is φ = 31703040.

The previous prime is 104645371. The next prime is 104645383. The reversal of 104645376 is 673546401.

It is a happy number.

104645376 is a `hidden beast` number, since 1 + 0 + 4 + 645 + 3 + 7 + 6 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104645376.

It is not an unprimeable number, because it can be changed into a prime (104645371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23280 + ... + 27408.

Almost surely, 2104645376 is an apocalyptic number.

104645376 is a gapful number since it is divisible by the number (16) 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 104645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164613540).

104645376 is an abundant number, since it is smaller than the sum of its proper divisors (224581704).

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

104645376 is a wasteful number, since it uses less digits than its factorization.

104645376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 104645376 is about 10229.6322514546. The cubic root of 104645376 is about 471.2376854895.

It can be divided in two parts, 1046453 and 76, that added together give a square (1046529 = 10232).

The spelling of 104645376 in words is "one hundred four million, six hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4129 4224 6336 8258 8448 12387 12672 16516 24774 25344 33032 37161 45419 49548 66064 74322 90838 99096 132128 136257 148644 181676 198192 264256 272514 297288 363352 396384 408771 528512 545028 594576 726704 792768 817542 1057024 1090056 1189152 1453408 1585536 1635084 2180112 2378304 2906816 3171072 3270168 4360224 4756608 5813632 6540336 8720448 9513216 11627264 13080672 17440896 26161344 34881792 52322688 104645376