Search a number
-
+
159007950 = 232525359113
BaseRepresentation
bin10010111101001…
…00010011001110
3102002012102220100
421132210103032
5311201223300
623440031530
73640355013
oct1136442316
9362172810
10159007950
1181835032
12453025a6
1326c3405a
141719170a
15de5d700
hex97a44ce

159007950 has 144 divisors (see below), whose sum is σ = 446556240. Its totient is φ = 40535040.

The previous prime is 159007913. The next prime is 159007969. The reversal of 159007950 is 59700951.

It is a happy number.

159007950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1407094 + ... + 1407206.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 2159007950 is an apocalyptic number.

159007950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159007950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223278120).

159007950 is an abundant number, since it is smaller than the sum of its proper divisors (287548290).

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

159007950 is a wasteful number, since it uses less digits than its factorization.

159007950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 159007950 is about 12609.8354469834. The cubic root of 159007950 is about 541.7591805164.

The spelling of 159007950 in words is "one hundred fifty-nine million, seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 59 75 90 106 113 118 150 159 177 225 226 265 295 318 339 354 450 477 530 531 565 590 678 795 885 954 1017 1062 1130 1325 1475 1590 1695 1770 2034 2385 2650 2655 2825 2950 3127 3390 3975 4425 4770 5085 5310 5650 5989 6254 6667 7950 8475 8850 9381 10170 11925 11978 13275 13334 15635 16950 17967 18762 20001 23850 25425 26550 28143 29945 31270 33335 35934 40002 46905 50850 53901 56286 59890 60003 66670 78175 89835 93810 100005 107802 120006 140715 149725 156350 166675 179670 200010 234525 269505 281430 299450 300015 333350 353351 449175 469050 500025 539010 600030 703575 706702 898350 1000050 1060053 1347525 1407150 1500075 1766755 2120106 2695050 3000150 3180159 3533510 5300265 6360318 8833775 10600530 15900795 17667550 26501325 31801590 53002650 79503975 159007950