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315600150 = 235231671013
BaseRepresentation
bin10010110011111…
…010110100010110
3210222212011000110
4102303322310112
51121243201100
651152223450
710551362025
oct2263726426
9728764013
10315600150
1115216a078
128983ab86
1350500668
142dcb48bc
151ca91250
hex12cfad16

315600150 has 96 divisors (see below), whose sum is σ = 820804608. Its totient is φ = 80150400.

The previous prime is 315600133. The next prime is 315600157. The reversal of 315600150 is 51006513.

It is a happy number.

315600150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315600157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311044 + ... + 312056.

It is an arithmetic number, because the mean of its divisors is an integer number (8550048).

Almost surely, 2315600150 is an apocalyptic number.

315600150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315600150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410402304).

315600150 is an abundant number, since it is smaller than the sum of its proper divisors (505204458).

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

315600150 is a wasteful number, since it uses less digits than its factorization.

315600150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 315600150 is about 17765.1386147139. The cubic root of 315600150 is about 680.8410513089.

Adding to 315600150 its reverse (51006513), we get a palindrome (366606663).

The spelling of 315600150 in words is "three hundred fifteen million, six hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 67 75 93 134 150 155 186 201 310 335 402 465 670 775 930 1005 1013 1550 1675 2010 2026 2077 2325 3039 3350 4154 4650 5025 5065 6078 6231 10050 10130 10385 12462 15195 20770 25325 30390 31155 31403 50650 51925 62310 62806 67871 75975 94209 103850 135742 151950 155775 157015 188418 203613 311550 314030 339355 407226 471045 678710 785075 942090 1018065 1570150 1696775 2036130 2104001 2355225 3393550 4208002 4710450 5090325 6312003 10180650 10520005 12624006 21040010 31560015 52600025 63120030 105200050 157800075 315600150