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150440024 = 23719314561
BaseRepresentation
bin10001111011110…
…00100001011000
3101111002010220202
420331320201120
5302003040044
622532241332
73504501440
oct1075704130
9344063822
10150440024
1177a128a9
1242470248
1325224287
1415da1120
15d319c4e
hex8f78858

150440024 has 64 divisors (see below), whose sum is σ = 350361600. Its totient is φ = 59097600.

The previous prime is 150440011. The next prime is 150440041. The reversal of 150440024 is 420044051.

It is a super-2 number, since 2×1504400242 = 45264401642241152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150439978 and 150440005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30704 + ... + 35264.

It is an arithmetic number, because the mean of its divisors is an integer number (5474400).

Almost surely, 2150440024 is an apocalyptic number.

150440024 is a gapful number since it is divisible by the number (14) 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 150440024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175180800).

150440024 is an abundant number, since it is smaller than the sum of its proper divisors (199921576).

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

150440024 is a wasteful number, since it uses less digits than its factorization.

150440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 150440024 is about 12265.3994635315. The cubic root of 150440024 is about 531.8483276899.

Adding to 150440024 its reverse (420044051), we get a palindrome (570484075).

The spelling of 150440024 in words is "one hundred fifty million, four hundred forty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4561 4712 8246 9122 16492 18244 31927 32984 36488 63854 86659 127708 141391 173318 255416 282782 346636 565564 606613 693272 989737 1131128 1213226 1979474 2426452 2686429 3958948 4852904 5372858 7917896 10745716 18805003 21491432 37610006 75220012 150440024