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1047715968 = 27313415119
BaseRepresentation
bin111110011100101…
…110000010000000
32201000110111010010
4332130232002000
54121203402333
6251544104520
734651303335
oct7634560200
92630414103
101047715968
11498454572
12252a65140
131390a5aa0
149d20c98c
1561ea9563
hex3e72e080

1047715968 has 128 divisors (see below), whose sum is σ = 3070771200. Its totient is φ = 314449920.

The previous prime is 1047715961. The next prime is 1047715979. The reversal of 1047715968 is 8695177401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1047715961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202113 + ... + 207231.

It is an arithmetic number, because the mean of its divisors is an integer number (23990400).

Almost surely, 21047715968 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 1047715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535385600).

1047715968 is an abundant number, since it is smaller than the sum of its proper divisors (2023055232).

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

1047715968 is a wasteful number, since it uses less digits than its factorization.

1047715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 1047715968 is about 32368.4409263097. The cubic root of 1047715968 is about 1015.6588434425.

The spelling of 1047715968 in words is "one billion, forty-seven million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 312 328 384 416 492 533 624 656 832 984 1066 1248 1312 1599 1664 1968 2132 2496 2624 3198 3936 4264 4992 5119 5248 6396 7872 8528 10238 12792 15357 15744 17056 20476 25584 30714 34112 40952 51168 61428 66547 68224 81904 102336 122856 133094 163808 199641 204672 209879 245712 266188 327616 399282 419758 491424 532376 629637 655232 798564 839516 982848 1064752 1259274 1597128 1679032 1965696 2129504 2518548 2728427 3194256 3358064 4259008 5037096 5456854 6388512 6716128 8185281 8518016 10074192 10913708 12777024 13432256 16370562 20148384 21827416 25554048 26864512 32741124 40296768 43654832 65482248 80593536 87309664 130964496 174619328 261928992 349238656 523857984 1047715968