Search a number
-
+
163060768 = 2513593661
BaseRepresentation
bin10011011100000…
…01110000100000
3102100211100022201
421232001300200
5313220421033
624102542544
74016664553
oct1156016040
9370740281
10163060768
1184052a72
1246737a54
1327a22980
141792869a
15e4ae47d
hex9b81c20

163060768 has 48 divisors (see below), whose sum is σ = 346827096. Its totient is φ = 75018240.

The previous prime is 163060693. The next prime is 163060811. The reversal of 163060768 is 867060361.

It can be written as a sum of positive squares in 4 ways, for example, as 141419664 + 21641104 = 11892^2 + 4652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246358 + ... + 247018.

Almost surely, 2163060768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163060768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173413548).

163060768 is an abundant number, since it is smaller than the sum of its proper divisors (183766328).

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

163060768 is a wasteful number, since it uses less digits than its factorization.

163060768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 163060768 is about 12769.5249715876. The cubic root of 163060768 is about 546.3234318386.

The spelling of 163060768 in words is "one hundred sixty-three million, sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 593 661 1186 1322 2372 2644 4744 5288 7709 8593 9488 10576 15418 17186 18976 21152 30836 34372 61672 68744 123344 137488 246688 274976 391973 783946 1567892 3135784 5095649 6271568 10191298 12543136 20382596 40765192 81530384 163060768