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104040768 = 2631373571
BaseRepresentation
bin1100011001110…
…00100101000000
321020202211002210
412030320211000
5203113301033
614153542120
72402221566
oct614704500
9236684083
10104040768
1153801407
122aa14940
1318729ab0
14db63a36
159201d63
hex6338940

104040768 has 112 divisors (see below), whose sum is σ = 301036736. Its totient is φ = 31518720.

The previous prime is 104040767. The next prime is 104040793. The reversal of 104040768 is 867040401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104040767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181923 + ... + 182493.

It is an arithmetic number, because the mean of its divisors is an integer number (2687828).

Almost surely, 2104040768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150518368).

104040768 is an abundant number, since it is smaller than the sum of its proper divisors (196995968).

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

104040768 is a wasteful number, since it uses less digits than its factorization.

104040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 104040768 is about 10200.0376469893. The cubic root of 104040768 is about 470.3283777298.

The spelling of 104040768 in words is "one hundred four million, forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 146 156 192 208 219 292 312 416 438 571 584 624 832 876 949 1142 1168 1248 1713 1752 1898 2284 2336 2496 2847 3426 3504 3796 4568 4672 5694 6852 7008 7423 7592 9136 11388 13704 14016 14846 15184 18272 22269 22776 27408 29692 30368 36544 41683 44538 45552 54816 59384 60736 83366 89076 91104 109632 118768 125049 166732 178152 182208 237536 250098 333464 356304 475072 500196 541879 666928 712608 1000392 1083758 1333856 1425216 1625637 2000784 2167516 2667712 3251274 4001568 4335032 6502548 8003136 8670064 13005096 17340128 26010192 34680256 52020384 104040768