Search a number
-
+
154836540 = 223251575479
BaseRepresentation
bin10010011101010…
…01111000111100
3101210100111210200
421032221320330
5304114232130
623210403500
73560042325
oct1116517074
9353314720
10154836540
117a445a91
1243a30590
1326103471
14167c744c
15d8d7760
hex93a9e3c

154836540 has 72 divisors (see below), whose sum is σ = 472748640. Its totient is φ = 41019264.

The previous prime is 154836509. The next prime is 154836547. The reversal of 154836540 is 45638451.

It is a happy number.

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 = 154836495 and 154836504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154836547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25521 + ... + 30999.

Almost surely, 2154836540 is an apocalyptic number.

154836540 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 154836540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236374320).

154836540 is an abundant number, since it is smaller than the sum of its proper divisors (317912100).

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

154836540 is a wasteful number, since it uses less digits than its factorization.

154836540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 154836540 is about 12443.3331547460. Note that the first 3 decimals coincide. The cubic root of 154836540 is about 536.9796398968.

The spelling of 154836540 in words is "one hundred fifty-four million, eight hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5479 5652 7065 9420 10958 14130 16437 21916 27395 28260 32874 49311 54790 65748 82185 98622 109580 164370 197244 246555 328740 493110 860203 986220 1720406 2580609 3440812 4301015 5161218 7741827 8602030 10322436 12903045 15483654 17204060 25806090 30967308 38709135 51612180 77418270 154836540