Search a number
-
+
154229140 = 225134211409
BaseRepresentation
bin10010011000101…
…01100110010100
3101202012122121101
421030111212110
5303440313030
623145355444
73551632432
oct1114254624
9352178541
10154229140
117a0706aa
1243798b84
1325c4cb60
14166a9d52
15d8177ca
hex9315994

154229140 has 48 divisors (see below), whose sum is σ = 349871760. Its totient is φ = 56770560.

The previous prime is 154229129. The next prime is 154229143. The reversal of 154229140 is 41922451.

It can be written as a sum of positive squares in 8 ways, for example, as 103591684 + 50637456 = 10178^2 + 7116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 154229099 and 154229108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154229143) 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, 108756 + ... + 110164.

It is an arithmetic number, because the mean of its divisors is an integer number (7288995).

Almost surely, 2154229140 is an apocalyptic number.

154229140 is a gapful number since it is divisible by the number (10) 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 154229140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174935880).

154229140 is an abundant number, since it is smaller than the sum of its proper divisors (195642620).

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

154229140 is a wasteful number, since it uses less digits than its factorization.

154229140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 154229140 is about 12418.9025280014. The cubic root of 154229140 is about 536.2765568068.

The spelling of 154229140 in words is "one hundred fifty-four million, two hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 421 842 1409 1684 2105 2818 4210 5473 5636 7045 8420 10946 14090 18317 21892 27365 28180 36634 54730 73268 91585 109460 183170 366340 593189 1186378 2372756 2965945 5931890 7711457 11863780 15422914 30845828 38557285 77114570 154229140