Search a number
-
+
150355002 = 23723317491
BaseRepresentation
bin10001111011000…
…11110000111010
3101110220211021210
420331203300322
5301442330002
622530343550
73503665530
oct1075436072
9343824253
10150355002
1177964a36
124242abb6
13251c4675
1415d7c150
15d2ee96c
hex8f63c3a

150355002 has 64 divisors (see below), whose sum is σ = 360474624. Its totient is φ = 40877760.

The previous prime is 150354977. The next prime is 150355003. The reversal of 150355002 is 200553051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 150355002.

It is not an unprimeable number, because it can be changed into a prime (150355003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305977 + ... + 306467.

It is an arithmetic number, because the mean of its divisors is an integer number (5632416).

Almost surely, 2150355002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150355002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180237312).

150355002 is an abundant number, since it is smaller than the sum of its proper divisors (210119622).

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

150355002 is a wasteful number, since it uses less digits than its factorization.

150355002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 150355002 is about 12261.9330449974. The cubic root of 150355002 is about 531.7481164816.

The spelling of 150355002 in words is "one hundred fifty million, three hundred fifty-five thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 317 322 483 491 634 951 966 982 1473 1902 2219 2946 3437 4438 6657 6874 7291 10311 11293 13314 14582 20622 21873 22586 33879 43746 51037 67758 79051 102074 153111 155647 158102 237153 306222 311294 466941 474306 933882 1089529 2179058 3268587 3579881 6537174 7159762 10739643 21479286 25059167 50118334 75177501 150355002