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150038000 = 2453721531
BaseRepresentation
bin10001111000101…
…10010111110000
3101110022201102222
420330112113300
5301402204000
622515500212
73501205400
oct1074262760
9343281388
10150038000
1177768852
12422b7668
13251132a8
1415cd8800
15d28aa85
hex8f165f0

150038000 has 120 divisors (see below), whose sum is σ = 422298864. Its totient is φ = 51408000.

The previous prime is 150037963. The next prime is 150038023. The reversal of 150038000 is 830051.

150038000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 122492-1.

It is a super-2 number, since 2×1500380002 = 45022802888000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150038000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97235 + ... + 98765.

Almost surely, 2150038000 is an apocalyptic number.

150038000 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 150038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211149432).

150038000 is an abundant number, since it is smaller than the sum of its proper divisors (272260864).

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

150038000 is a wasteful number, since it uses less digits than its factorization.

150038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 150038000 is about 12248.9999591803. Note that the first 4 decimals coincide. The cubic root of 150038000 is about 531.3741486093.

Adding to 150038000 its reverse (830051), we get a palindrome (150868051).

The spelling of 150038000 in words is "one hundred fifty million, thirty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1531 1750 1960 2000 2450 2800 3062 3500 3920 4900 6124 6125 7000 7655 9800 10717 12248 12250 14000 15310 19600 21434 24496 24500 30620 38275 42868 49000 53585 61240 75019 76550 85736 98000 107170 122480 150038 153100 171472 191375 214340 267925 300076 306200 375095 382750 428680 535850 600152 612400 750190 765500 857360 1071700 1200304 1339625 1500380 1531000 1875475 2143400 2679250 3000760 3062000 3750950 4286800 5358500 6001520 7501900 9377375 10717000 15003800 18754750 21434000 30007600 37509500 75019000 150038000