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941145072 = 24375095503
BaseRepresentation
bin111000000110001…
…011101111110000
32102120221010022220
4320012023233300
53411413120242
6233220001040
732215413120
oct7006135760
92376833286
10941145072
1144328524a
12223230180
1311cca149a
148cdcac80
1557957bec
hex3818bbf0

941145072 has 80 divisors (see below), whose sum is σ = 2784583680. Its totient is φ = 268321536.

The previous prime is 941145071. The next prime is 941145097. The reversal of 941145072 is 270541149.

It is a happy number.

941145072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941145071) 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, 168273 + ... + 173775.

It is an arithmetic number, because the mean of its divisors is an integer number (34807296).

Almost surely, 2941145072 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 941145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392291840).

941145072 is an abundant number, since it is smaller than the sum of its proper divisors (1843438608).

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

941145072 is a wasteful number, since it uses less digits than its factorization.

941145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 941145072 is about 30678.0878152469. The cubic root of 941145072 is about 979.9837120714.

The spelling of 941145072 in words is "nine hundred forty-one million, one hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 509 1018 1527 2036 3054 3563 4072 5503 6108 7126 8144 10689 11006 12216 14252 16509 21378 22012 24432 28504 33018 38521 42756 44024 57008 66036 77042 85512 88048 115563 132072 154084 171024 231126 264144 308168 462252 616336 924504 1849008 2801027 5602054 8403081 11204108 16806162 19607189 22408216 33612324 39214378 44816432 58821567 67224648 78428756 117643134 134449296 156857512 235286268 313715024 470572536 941145072