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150240006 = 23272235347
BaseRepresentation
bin10001111010001…
…11101100000110
3101110200222112200
420331013230012
5301430140011
622524055330
73503006340
oct1075075406
9343628480
10150240006
11778965a4
1242394546
1325184217
1415d4c290
15d2ca856
hex8f47b06

150240006 has 48 divisors (see below), whose sum is σ = 373761024. Its totient is φ = 42725232.

The previous prime is 150239993. The next prime is 150240007. The reversal of 150240006 is 600042051.

It is a happy number.

150240006 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150240007) 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, 25425 + ... + 30771.

It is an arithmetic number, because the mean of its divisors is an integer number (7786688).

Almost surely, 2150240006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150240006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186880512).

150240006 is an abundant number, since it is smaller than the sum of its proper divisors (223521018).

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

150240006 is a wasteful number, since it uses less digits than its factorization.

150240006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5582 counting only the distinct ones).

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

The square root of 150240006 is about 12257.2430015889. The cubic root of 150240006 is about 531.6125162871.

Adding to 150240006 its reverse (600042051), we get a palindrome (750282057).

The spelling of 150240006 in words is "one hundred fifty million, two hundred forty thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 3122 4014 4683 5347 9366 10694 14049 16041 28098 32082 37429 48123 74858 96246 112287 224574 336861 673722 1192381 2384762 3577143 7154286 8346667 10731429 16693334 21462858 25040001 50080002 75120003 150240006