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150420042 = 23229535437
BaseRepresentation
bin10001111011100…
…11101001001010
3101111001010111200
420331303221022
5302001420132
622532005030
73504356253
oct1075635112
9344033450
10150420042
11779a9893
1242460776
1325218156
1415d97b2a
15d313d7c
hex8f73a4a

150420042 has 48 divisors (see below), whose sum is σ = 343572840. Its totient is φ = 47488896.

The previous prime is 150420041. The next prime is 150420089. The reversal of 150420042 is 240024051.

It can be written as a sum of positive squares in 4 ways, for example, as 142348761 + 8071281 = 11931^2 + 2841^2 .

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 = 150419997 and 150420024.

It is not an unprimeable number, because it can be changed into a prime (150420041) 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, 24948 + ... + 30384.

Almost surely, 2150420042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171786420).

150420042 is an abundant number, since it is smaller than the sum of its proper divisors (193152798).

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

150420042 is a wasteful number, since it uses less digits than its factorization.

150420042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150420042 is about 12264.5848686370. The cubic root of 150420042 is about 531.8247792938.

Adding to 150420042 its reverse (240024051), we get a palindrome (390444093).

The spelling of 150420042 in words is "one hundred fifty million, four hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 3074 4611 5437 9222 10874 13833 16311 27666 32622 48933 97866 157673 288161 315346 473019 576322 864483 946038 1419057 1728966 2593449 2838114 5186898 8356669 16713338 25070007 50140014 75210021 150420042