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940012128 = 25341132969
BaseRepresentation
bin111000000001110…
…111001001100000
32102111210120020000
4320001313021200
53411120342003
6233135420000
732202654066
oct7001671140
92374716200
10940012128
11442681030
12222984600
1311c9958c3
148cbb4036
15577d21a3
hex38077260

940012128 has 120 divisors (see below), whose sum is σ = 3015963720. Its totient is φ = 284843520.

The previous prime is 940012109. The next prime is 940012133. The reversal of 940012128 is 821210049.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12028 + ... + 44996.

It is an arithmetic number, because the mean of its divisors is an integer number (25133031).

Almost surely, 2940012128 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 940012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507981860).

940012128 is an abundant number, since it is smaller than the sum of its proper divisors (2075951592).

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

940012128 is a wasteful number, since it uses less digits than its factorization.

940012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33002 (or 32985 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 940012128 is about 30659.6172187456. The cubic root of 940012128 is about 979.5903216125.

It can be divided in two parts, 9400 and 12128, that added together give a triangular number (21528 = T207).

The spelling of 940012128 in words is "nine hundred forty million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 32969 65938 98907 131876 197814 263752 296721 362659 395628 527504 593442 725318 791256 890163 1055008 1087977 1186884 1450636 1582512 1780326 2175954 2373768 2670489 2901272 3165024 3263931 3560652 4351908 4747536 5340978 5802544 6527862 7121304 8703816 9495072 9791793 10681956 11605088 13055724 14242608 17407632 19583586 21363912 26111448 28485216 29375379 34815264 39167172 42727824 52222896 58750758 78334344 85455648 104445792 117501516 156668688 235003032 313337376 470006064 940012128