Search a number
-
+
1316089300 = 2252471072617
BaseRepresentation
bin100111001110001…
…1110110111010100
310101201110021010011
41032130132313110
510143404324200
6334332210004
744420401021
oct11634366724
93351407104
101316089300
11615997409
12308909904
1317c87c386
14c6b0c548
157a81c5ba
hex4e71edd4

1316089300 has 72 divisors (see below), whose sum is σ = 2945061504. Its totient is φ = 510224640.

The previous prime is 1316089259. The next prime is 1316089301. The reversal of 1316089300 is 39806131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316089301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501592 + ... + 504208.

It is an arithmetic number, because the mean of its divisors is an integer number (40903632).

Almost surely, 21316089300 is an apocalyptic number.

1316089300 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 1316089300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472530752).

1316089300 is an abundant number, since it is smaller than the sum of its proper divisors (1628972204).

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

1316089300 is a wasteful number, since it uses less digits than its factorization.

1316089300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1316089300 is about 36277.9450906470. The cubic root of 1316089300 is about 1095.8769342079.

The spelling of 1316089300 in words is "one billion, three hundred sixteen million, eighty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 107 188 214 235 428 470 535 940 1070 1175 2140 2350 2617 2675 4700 5029 5234 5350 10058 10468 10700 13085 20116 25145 26170 50290 52340 65425 100580 122999 125725 130850 245998 251450 261700 280019 491996 502900 560038 614995 1120076 1229990 1400095 2459980 2800190 3074975 5600380 6149950 7000475 12299900 13160893 14000950 26321786 28001900 52643572 65804465 131608930 263217860 329022325 658044650 1316089300