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162130960 = 24510918593
BaseRepresentation
bin10011010100111…
…10110000010000
3102022002002212101
421222132300100
5313001142320
624031010144
74006043005
oct1152366020
9368062771
10162130960
1183578432
1246369954
13277886a4
14177658ac
15e378c0a
hex9a9ec10

162130960 has 40 divisors (see below), whose sum is σ = 380433240. Its totient is φ = 64253952.

The previous prime is 162130949. The next prime is 162130963. The reversal of 162130960 is 69031261.

It can be written as a sum of positive squares in 4 ways, for example, as 32444416 + 129686544 = 5696^2 + 11388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (162130963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 18016.

It is an arithmetic number, because the mean of its divisors is an integer number (9510831).

Almost surely, 2162130960 is an apocalyptic number.

162130960 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 162130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190216620).

162130960 is an abundant number, since it is smaller than the sum of its proper divisors (218302280).

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

162130960 is a wasteful number, since it uses less digits than its factorization.

162130960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18715 (or 18709 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 162130960 is about 12733.0656167319. The cubic root of 162130960 is about 545.2830334157.

The spelling of 162130960 in words is "one hundred sixty-two million, one hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 18593 37186 74372 92965 148744 185930 297488 371860 743720 1487440 2026637 4053274 8106548 10133185 16213096 20266370 32426192 40532740 81065480 162130960