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150530040 = 233252571627
BaseRepresentation
bin10001111100011…
…10011111111000
3101111020201101200
420332032133320
5302013430130
622534214200
73505325043
oct1076163770
9344221350
10150530040
1177a744a1
12424b4360
132525623b
1415dc5c5a
15d336760
hex8f8e7f8

150530040 has 96 divisors (see below), whose sum is σ = 491428080. Its totient is φ = 39960576.

The previous prime is 150530021. The next prime is 150530041. The reversal of 150530040 is 40035051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150529995 and 150530022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150530041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91707 + ... + 93333.

Almost surely, 2150530040 is an apocalyptic number.

150530040 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 150530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245714040).

150530040 is an abundant number, since it is smaller than the sum of its proper divisors (340898040).

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

150530040 is a wasteful number, since it uses less digits than its factorization.

150530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

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

The square root of 150530040 is about 12269.0684242937. The cubic root of 150530040 is about 531.9543839381.

Adding to 150530040 its reverse (40035051), we get a palindrome (190565091).

The spelling of 150530040 in words is "one hundred fifty million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 257 360 514 771 1028 1285 1542 1627 2056 2313 2570 3084 3254 3855 4626 4881 5140 6168 6508 7710 8135 9252 9762 10280 11565 13016 14643 15420 16270 18504 19524 23130 24405 29286 30840 32540 39048 46260 48810 58572 65080 73215 92520 97620 117144 146430 195240 292860 418139 585720 836278 1254417 1672556 2090695 2508834 3345112 3763251 4181390 5017668 6272085 7526502 8362780 10035336 12544170 15053004 16725560 18816255 25088340 30106008 37632510 50176680 75265020 150530040