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3140053600 = 25525936619
BaseRepresentation
bin1011101100101001…
…0110101001100000
322002211120020202111
42323022112221200
522412323203400
61235330125104
7140546005135
oct27312265140
98084506674
103140053600
111371529822
12737720794
133b07100a8
1421b06258c
15135a0b3ba
hexbb296a60

3140053600 has 72 divisors (see below), whose sum is σ = 7679742840. Its totient is φ = 1253713920.

The previous prime is 3140053577. The next prime is 3140053603. The reversal of 3140053600 is 63500413.

It is a super-2 number, since 2×31400536002 = 19719873221745920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140053603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471091 + ... + 477709.

It is an arithmetic number, because the mean of its divisors is an integer number (106663095).

Almost surely, 23140053600 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 3140053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839871420).

3140053600 is an abundant number, since it is smaller than the sum of its proper divisors (4539689240).

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

3140053600 is a wasteful number, since it uses less digits than its factorization.

3140053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3140053600 is about 56036.1811689555. The cubic root of 3140053600 is about 1464.3526826062.

The spelling of 3140053600 in words is "three billion, one hundred forty million, fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 593 800 1186 2372 2965 4744 5930 6619 9488 11860 13238 14825 18976 23720 26476 29650 33095 47440 52952 59300 66190 94880 105904 118600 132380 165475 211808 237200 264760 330950 474400 529520 661900 1059040 1323800 2647600 3925067 5295200 7850134 15700268 19625335 31400536 39250670 62801072 78501340 98126675 125602144 157002680 196253350 314005360 392506700 628010720 785013400 1570026800 3140053600