Search a number
-
+
912865140 = 223451124657
BaseRepresentation
bin110110011010010…
…011011101110100
32100121201100120000
4312122103131310
53332143141030
6230325511300
731423140255
oct6632233564
92317640500
10912865140
1142931a100
12215872530
1311717c3b5
1489348b2c
155521d860
hex36693774

912865140 has 180 divisors, whose sum is σ = 3148370148. Its totient is φ = 221253120.

The previous prime is 912865139. The next prime is 912865141. The reversal of 912865140 is 41568219.

It is an interprime number because it is at equal distance from previous prime (912865139) and next prime (912865141).

It can be written as a sum of positive squares in 2 ways, for example, as 208918116 + 703947024 = 14454^2 + 26532^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 912865095 and 912865104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (912865141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 193692 + ... + 198348.

Almost surely, 2912865140 is an apocalyptic number.

912865140 is a gapful number since it is divisible by the number (90) 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 912865140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574185074).

912865140 is an abundant number, since it is smaller than the sum of its proper divisors (2235505008).

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

912865140 is a wasteful number, since it uses less digits than its factorization.

912865140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 912865140 is about 30213.6581697748. The cubic root of 912865140 is about 970.0680648026.

The spelling of 912865140 in words is "nine hundred twelve million, eight hundred sixty-five thousand, one hundred forty".