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1075067472 = 243234720719
BaseRepresentation
bin100000000010100…
…0011101001010000
32202220221002022210
41000011003221100
54200204124342
6254402232120
735432631333
oct10005035120
92686832283
101075067472
11501936116
12260055640
131419613cb
14a2acc61a
15645ad79c
hex40143a50

1075067472 has 80 divisors (see below), whose sum is σ = 2959810560. Its totient is φ = 335465856.

The previous prime is 1075067459. The next prime is 1075067479. The reversal of 1075067472 is 2747605701.

It is a self number, because there is not a number n which added to its sum of digits gives 1075067472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075067479) 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, 41529 + ... + 62247.

It is an arithmetic number, because the mean of its divisors is an integer number (36997632).

Almost surely, 21075067472 is an apocalyptic number.

1075067472 is a gapful number since it is divisible by the number (12) 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 1075067472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479905280).

1075067472 is an abundant number, since it is smaller than the sum of its proper divisors (1884743088).

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

1075067472 is a wasteful number, since it uses less digits than its factorization.

1075067472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20800 (or 20794 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 1075067472 is about 32788.2215437190. The cubic root of 1075067472 is about 1024.4212388429.

The spelling of 1075067472 in words is "one billion, seventy-five million, sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 276 282 368 376 552 564 752 1081 1104 1128 2162 2256 3243 4324 6486 8648 12972 17296 20719 25944 41438 51888 62157 82876 124314 165752 248628 331504 476537 497256 953074 973793 994512 1429611 1906148 1947586 2859222 2921379 3812296 3895172 5718444 5842758 7624592 7790344 11436888 11685516 15580688 22397239 22873776 23371032 44794478 46742064 67191717 89588956 134383434 179177912 268766868 358355824 537533736 1075067472