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940261056 = 26371936821
BaseRepresentation
bin111000000010110…
…011111011000000
32102112021012200120
4320002303323000
53411201323211
6233145020240
732205041610
oct7002637300
92375235616
10940261056
11442831059
12222a84680
1311ca51cb7
148cc3aa40
1557830d06
hex380b3ec0

940261056 has 112 divisors (see below), whose sum is σ = 2992892160. Its totient is φ = 254499840.

The previous prime is 940261051. The next prime is 940261121. The reversal of 940261056 is 650162049.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×9402610563 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (940261051) 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, 7126 + ... + 43946.

Almost surely, 2940261056 is an apocalyptic number.

940261056 is a gapful number since it is divisible by the number (96) 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 940261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496446080).

940261056 is an abundant number, since it is smaller than the sum of its proper divisors (2052631104).

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

940261056 is a wasteful number, since it uses less digits than its factorization.

940261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36862 (or 36852 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 940261056 is about 30663.6764919016. The cubic root of 940261056 is about 979.6767835955.

The spelling of 940261056 in words is "nine hundred forty million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 36821 73642 110463 147284 220926 257747 294568 441852 515494 589136 699599 773241 883704 1030988 1178272 1399198 1546482 1767408 2061976 2098797 2356544 2798396 3092964 3534816 4123952 4197594 4897193 5596792 6185928 7069632 8247904 8395188 9794386 11193584 12371856 14691579 16495808 16790376 19588772 22387168 24743712 29383158 33580752 39177544 44774336 49487424 58766316 67161504 78355088 117532632 134323008 156710176 235065264 313420352 470130528 940261056