Search a number
-
+
149580260 = 2252928893
BaseRepresentation
bin10001110101001…
…10100111100100
3101102110110112122
420322212213210
5301243032020
622502005112
73464261024
oct1072464744
9342413478
10149580260
1177485955
1242116798
1324cb2b3b
1415c19a84
15d1ea125
hex8ea69e4

149580260 has 36 divisors (see below), whose sum is σ = 325360308. Its totient is φ = 57762432.

The previous prime is 149580241. The next prime is 149580269. The reversal of 149580260 is 62085941.

149580260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9205156 + 140375104 = 3034^2 + 11848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 149580260.

It is not an unprimeable number, because it can be changed into a prime (149580269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12374 + ... + 21266.

Almost surely, 2149580260 is an apocalyptic number.

149580260 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 149580260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162680154).

149580260 is an abundant number, since it is smaller than the sum of its proper divisors (175780048).

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

149580260 is a wasteful number, since it uses less digits than its factorization.

149580260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 149580260 is about 12230.3008957262. The cubic root of 149580260 is about 530.8332212553.

The spelling of 149580260 in words is "one hundred forty-nine million, five hundred eighty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 8893 16820 17786 35572 44465 88930 177860 257897 515794 1031588 1289485 2578970 5157940 7479013 14958026 29916052 37395065 74790130 149580260