Search a number
-
+
1593311980 = 2251327122613
BaseRepresentation
bin101111011111000…
…0000001011101100
311010001002122010211
41132332000023230
511230341440410
6422034112204
754324633301
oct13676001354
94101078124
101593311980
11748423967
1238571b664
131c5133870
141118730a8
1594d2c68a
hex5ef802ec

1593311980 has 48 divisors (see below), whose sum is σ = 3616792704. Its totient is φ = 586103040.

The previous prime is 1593311953. The next prime is 1593311987. The reversal of 1593311980 is 891133951.

It is a super-2 number, since 2×15933119802 = 5077286131223040800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1593311987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59154 + ... + 81766.

It is an arithmetic number, because the mean of its divisors is an integer number (75349848).

Almost surely, 21593311980 is an apocalyptic number.

1593311980 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 1593311980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808396352).

1593311980 is an abundant number, since it is smaller than the sum of its proper divisors (2023480724).

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

1593311980 is a wasteful number, since it uses less digits than its factorization.

1593311980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22906 (or 22904 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 1593311980 is about 39916.3122044109. The cubic root of 1593311980 is about 1167.9751619085.

The spelling of 1593311980 in words is "one billion, five hundred ninety-three million, three hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 1084 1355 2710 3523 5420 7046 14092 17615 22613 35230 45226 70460 90452 113065 226130 293969 452260 587938 1175876 1469845 2939690 5879380 6128123 12256246 24512492 30640615 61281230 79665599 122562460 159331198 318662396 398327995 796655990 1593311980