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159315420 = 2235111991213
BaseRepresentation
bin10010111111011…
…11010111011100
3102002210001200010
421133233113130
5311241043140
623450403220
73643105305
oct1137572734
9362701603
10159315420
1181a25040
1245430510
1327010ca4
14172317ac
15debe880
hex97ef5dc

159315420 has 96 divisors (see below), whose sum is σ = 489484800. Its totient is φ = 38396160.

The previous prime is 159315389. The next prime is 159315421. The reversal of 159315420 is 24513951.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159315421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130734 + ... + 131946.

It is an arithmetic number, because the mean of its divisors is an integer number (5098800).

Almost surely, 2159315420 is an apocalyptic number.

159315420 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 159315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244742400).

159315420 is an abundant number, since it is smaller than the sum of its proper divisors (330169380).

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

159315420 is a wasteful number, since it uses less digits than its factorization.

159315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 159315420 is about 12622.0212327503. The cubic root of 159315420 is about 542.1081514184.

The spelling of 159315420 in words is "one hundred fifty-nine million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 199 220 330 398 597 660 796 995 1194 1213 1990 2189 2388 2426 2985 3639 3980 4378 4852 5970 6065 6567 7278 8756 10945 11940 12130 13134 13343 14556 18195 21890 24260 26268 26686 32835 36390 40029 43780 53372 65670 66715 72780 80058 131340 133430 160116 200145 241387 266860 400290 482774 724161 800580 965548 1206935 1448322 2413870 2655257 2896644 3620805 4827740 5310514 7241610 7965771 10621028 13276285 14483220 15931542 26552570 31863084 39828855 53105140 79657710 159315420