Search a number
-
+
154131540 = 223513918481
BaseRepresentation
bin10010010111111…
…01110001010100
3101202000200201120
421023331301110
5303424202130
623143323540
73551045043
oct1113756124
9352020646
10154131540
117a004342
12437505b0
1325c175c4
141668255a
15d7e8910
hex92fdc54

154131540 has 48 divisors (see below), whose sum is σ = 434696640. Its totient is φ = 40803840.

The previous prime is 154131539. The next prime is 154131547. The reversal of 154131540 is 45131451.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 154131540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154131547) 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, 901 + ... + 17580.

It is an arithmetic number, because the mean of its divisors is an integer number (9056180).

Almost surely, 2154131540 is an apocalyptic number.

154131540 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 154131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217348320).

154131540 is an abundant number, since it is smaller than the sum of its proper divisors (280565100).

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

154131540 is a wasteful number, since it uses less digits than its factorization.

154131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18632 (or 18630 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 154131540 is about 12414.9724123737. The cubic root of 154131540 is about 536.1634099297.

Adding to 154131540 its reverse (45131451), we get a palindrome (199262991).

The spelling of 154131540 in words is "one hundred fifty-four million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 18481 36962 55443 73924 92405 110886 184810 221772 277215 369620 554430 1108860 2568859 5137718 7706577 10275436 12844295 15413154 25688590 30826308 38532885 51377180 77065770 154131540