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1075681248 = 25341674079
BaseRepresentation
bin100000000011101…
…1001011111100000
32202222002021021020
41000013121133200
54200333244443
6254423325440
735441065635
oct10007313740
92688067236
101075681248
11502215274
122602b0880
13141b178a5
14a2c0c18c
1564680583
hex401d97e0

1075681248 has 96 divisors (see below), whose sum is σ = 2936424960. Its totient is φ = 344509440.

The previous prime is 1075681241. The next prime is 1075681283. The reversal of 1075681248 is 8421865701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075681241) 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, 261673 + ... + 265751.

It is an arithmetic number, because the mean of its divisors is an integer number (30587760).

Almost surely, 21075681248 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 1075681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468212480).

1075681248 is an abundant number, since it is smaller than the sum of its proper divisors (1860743712).

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

1075681248 is a wasteful number, since it uses less digits than its factorization.

1075681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1075681248 is about 32797.5799107190. The cubic root of 1075681248 is about 1024.6161554619.

The spelling of 1075681248 in words is "one billion, seventy-five million, six hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 67 82 96 123 134 164 201 246 268 328 402 492 536 656 804 984 1072 1312 1608 1968 2144 2747 3216 3936 4079 5494 6432 8158 8241 10988 12237 16316 16482 21976 24474 32632 32964 43952 48948 65264 65928 87904 97896 130528 131856 167239 195792 263712 273293 334478 391584 501717 546586 668956 819879 1003434 1093172 1337912 1639758 2006868 2186344 2675824 3279516 4013736 4372688 5351648 6559032 8027472 8745376 11205013 13118064 16054944 22410026 26236128 33615039 44820052 67230078 89640104 134460156 179280208 268920312 358560416 537840624 1075681248