Search a number
-
+
1320551144 = 2311313671319
BaseRepresentation
bin100111010110110…
…0000001011101000
310102000211221121122
41032231200023220
510201030114034
6335011554412
744503333223
oct11655401350
93360757548
101320551144
11618464690
1230a2bba08
13180782213
14c75505ba
157adee62e
hex4eb602e8

1320551144 has 64 divisors (see below), whose sum is σ = 2797977600. Its totient is φ = 578865600.

The previous prime is 1320551101. The next prime is 1320551147. The reversal of 1320551144 is 4411550231.

It is not an unprimeable number, because it can be changed into a prime (1320551147) 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, 1000517 + ... + 1001835.

It is an arithmetic number, because the mean of its divisors is an integer number (43718400).

Almost surely, 21320551144 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 1320551144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398988800).

1320551144 is an abundant number, since it is smaller than the sum of its proper divisors (1477426456).

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

1320551144 is a wasteful number, since it uses less digits than its factorization.

1320551144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1320551144 is about 36339.3883272683. The cubic root of 1320551144 is about 1097.1139618803.

The spelling of 1320551144 in words is "one billion, three hundred twenty million, five hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 367 682 734 1319 1364 1468 2638 2728 2936 4037 5276 8074 10552 11377 14509 16148 22754 29018 32296 40889 45508 58036 81778 91016 116072 125147 163556 250294 327112 449779 484073 500588 899558 968146 1001176 1799116 1936292 3598232 3872584 5324803 10649606 15006263 21299212 30012526 42598424 60025052 120050104 165068893 330137786 660275572 1320551144