Search a number
-
+
150500340 = 223254120393
BaseRepresentation
bin10001111100001…
…11001111110100
3101111012012122200
420332013033310
5302012002330
622533424500
73505142334
oct1076071764
9344165580
10150500340
1177a54151
124249b130
1325245873
1415db90c4
15d32ca60
hex8f873f4

150500340 has 72 divisors (see below), whose sum is σ = 467675208. Its totient is φ = 39152640.

The previous prime is 150500323. The next prime is 150500347. The reversal of 150500340 is 43005051.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 149964516 = 732^2 + 12246^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150500347) 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, 2817 + ... + 17576.

It is an arithmetic number, because the mean of its divisors is an integer number (6495489).

Almost surely, 2150500340 is an apocalyptic number.

150500340 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 150500340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233837604).

150500340 is an abundant number, since it is smaller than the sum of its proper divisors (317174868).

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

150500340 is a wasteful number, since it uses less digits than its factorization.

150500340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20449 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150500340 is about 12267.8580037430. The cubic root of 150500340 is about 531.9193962719.

Adding to 150500340 its reverse (43005051), we get a palindrome (193505391).

The spelling of 150500340 in words is "one hundred fifty million, five hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 20393 40786 61179 81572 101965 122358 183537 203930 244716 305895 367074 407860 611790 734148 836113 917685 1223580 1672226 1835370 2508339 3344452 3670740 4180565 5016678 7525017 8361130 10033356 12541695 15050034 16722260 25083390 30100068 37625085 50166780 75250170 150500340