Search a number
-
+
5165835140 = 2251922360961
BaseRepresentation
bin1001100111110100…
…00110001110000100
3111100000102121121102
410303322012032010
541034423211030
62212333435232
7242004605564
oct46372061604
914300377542
105165835140
112210a85444
12100203bb18
136443132ab
1437010cda4
152037b2c45
hex133e86384

5165835140 has 48 divisors (see below), whose sum is σ = 11470609920. Its totient is φ = 1948769280.

The previous prime is 5165835107. The next prime is 5165835149. The reversal of 5165835140 is 415385615.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 5165835094 and 5165835103.

It is not an unprimeable number, because it can be changed into a prime (5165835149) 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, 54260 + ... + 115220.

It is an arithmetic number, because the mean of its divisors is an integer number (238971040).

Almost surely, 25165835140 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 5165835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735304960).

5165835140 is an abundant number, since it is smaller than the sum of its proper divisors (6304774780).

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

5165835140 is a wasteful number, since it uses less digits than its factorization.

5165835140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61212 (or 61210 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 5165835140 is about 71873.7444412075. The cubic root of 5165835140 is about 1728.6756478708.

The spelling of 5165835140 in words is "five billion, one hundred sixty-five million, eight hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 223 380 446 892 1115 2230 4237 4460 8474 16948 21185 42370 60961 84740 121922 243844 304805 609610 1158259 1219220 2316518 4633036 5791295 11582590 13594303 23165180 27188606 54377212 67971515 135943030 258291757 271886060 516583514 1033167028 1291458785 2582917570 5165835140