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150242000 = 2453431747
BaseRepresentation
bin10001111010010…
…00001011010000
3101110201002021112
420331020023100
5301430221000
622524112452
73503015216
oct1075101320
9343632245
10150242000
1177898047
1242395728
13251850bc
1415d4ccb6
15d2cb235
hex8f482d0

150242000 has 80 divisors (see below), whose sum is σ = 371946432. Its totient is φ = 58665600.

The previous prime is 150241997. The next prime is 150242041. The reversal of 150242000 is 242051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85127 + ... + 86873.

Almost surely, 2150242000 is an apocalyptic number.

150242000 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 150242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185973216).

150242000 is an abundant number, since it is smaller than the sum of its proper divisors (221704432).

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

150242000 is a wasteful number, since it uses less digits than its factorization.

150242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 150242000 is about 12257.3243409808. The cubic root of 150242000 is about 531.6148681478.

Adding to 150242000 its reverse (242051), we get a palindrome (150484051).

The spelling of 150242000 in words is "one hundred fifty million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 1747 2000 2150 3440 3494 4300 5375 6988 8600 8735 10750 13976 17200 17470 21500 27952 34940 43000 43675 69880 75121 86000 87350 139760 150242 174700 218375 300484 349400 375605 436750 600968 698800 751210 873500 1201936 1502420 1747000 1878025 3004840 3494000 3756050 6009680 7512100 9390125 15024200 18780250 30048400 37560500 75121000 150242000