Search a number
-
+
150202026 = 2341373977
BaseRepresentation
bin10001111001111…
…10011010101010
3101110122001110000
420330332122222
5301422431101
622523203430
73502460532
oct1074763252
9343561400
10150202026
1177870007
1242376576
132516cb50
1415d3c4c2
15d2be486
hex8f3e6aa

150202026 has 80 divisors (see below), whose sum is σ = 367794504. Its totient is φ = 45536256.

The previous prime is 150201959. The next prime is 150202033. The reversal of 150202026 is 620202051.

It can be written as a sum of positive squares in 4 ways, for example, as 137945025 + 12257001 = 11745^2 + 3501^2 .

It is a super-2 number, since 2×1502020262 = 45121297229009352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153250 + ... + 154226.

Almost surely, 2150202026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150202026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183897252).

150202026 is an abundant number, since it is smaller than the sum of its proper divisors (217592478).

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

150202026 is a wasteful number, since it uses less digits than its factorization.

150202026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150202026 is about 12255.6936156221. The cubic root of 150202026 is about 531.5677160915.

Adding to 150202026 its reverse (620202051), we get a palindrome (770404077).

The spelling of 150202026 in words is "one hundred fifty million, two hundred two thousand, twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 81 117 146 162 219 234 351 438 657 702 949 977 1053 1314 1898 1954 1971 2106 2847 2931 3942 5694 5862 5913 8541 8793 11826 12701 17082 17586 25402 25623 26379 38103 51246 52758 71321 76206 76869 79137 114309 142642 153738 158274 213963 228618 342927 427926 641889 685854 927173 1028781 1283778 1854346 1925667 2057562 2781519 3851334 5563038 5777001 8344557 11554002 16689114 25033671 50067342 75101013 150202026