Search a number
-
+
4120789140 = 22375137247
BaseRepresentation
bin1111010110011110…
…0100000010010100
3101122011222210000000
43311213210002110
531414410223030
61520522451300
7204055062336
oct36547440224
911564883000
104120789140
111825094966
12970063b30
13508963890
142b13d7456
15191b84860
hexf59e4094

4120789140 has 192 divisors, whose sum is σ = 13978782720. Its totient is φ = 1014208128.

The previous prime is 4120789129. The next prime is 4120789151. The reversal of 4120789140 is 419870214.

It is an interprime number because it is at equal distance from previous prime (4120789129) and next prime (4120789151).

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 = 4120789095 and 4120789104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564997 + ... + 572243.

It is an arithmetic number, because the mean of its divisors is an integer number (72806160).

Almost surely, 24120789140 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 4120789140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989391360).

4120789140 is an abundant number, since it is smaller than the sum of its proper divisors (9857993580).

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

4120789140 is a wasteful number, since it uses less digits than its factorization.

4120789140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4120789140 is about 64193.3730224546. The cubic root of 4120789140 is about 1603.2212629176.

The spelling of 4120789140 in words is "four billion, one hundred twenty million, seven hundred eighty-nine thousand, one hundred forty".