Search a number
-
+
158930560 = 2751671487
BaseRepresentation
bin10010111100100…
…01011010000000
3102002001111202001
421132101122000
5311141234220
623434233344
73636613255
oct1136213200
9362044661
10158930560
1181791978
1245285854
1326c07a69
141717142c
15de4580a
hex9791680

158930560 has 64 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 63149056.

The previous prime is 158930557. The next prime is 158930581. The reversal of 158930560 is 65039851.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106137 + ... + 107623.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2158930560 is an apocalyptic number.

158930560 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 158930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

158930560 is an abundant number, since it is smaller than the sum of its proper divisors (223544960).

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

158930560 is a wasteful number, since it uses less digits than its factorization.

158930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 158930560 is about 12606.7664371162. The cubic root of 158930560 is about 541.6712739122.

The spelling of 158930560 in words is "one hundred fifty-eight million, nine hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1336 1487 1670 2672 2974 3340 5344 5948 6680 7435 10688 11896 13360 14870 21376 23792 26720 29740 47584 53440 59480 95168 106880 118960 190336 237920 248329 475840 496658 951680 993316 1241645 1986632 2483290 3973264 4966580 7946528 9933160 15893056 19866320 31786112 39732640 79465280 158930560