Search a number
-
+
1320753928 = 231327113759
BaseRepresentation
bin100111010111001…
…0001101100001000
310102001020020210011
41032232101230020
510201103111203
6335020201304
744505136354
oct11656215410
93361206704
101320753928
11618592a7a
1230a399234
13180823600
14c75a4464
157ae3e76d
hex4eb91b08

1320753928 has 48 divisors (see below), whose sum is σ = 2719526400. Its totient is φ = 600949440.

The previous prime is 1320753877. The next prime is 1320753937. The reversal of 1320753928 is 8293570231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89113 + ... + 102871.

It is an arithmetic number, because the mean of its divisors is an integer number (56656800).

Almost surely, 21320753928 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 1320753928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359763200).

1320753928 is an abundant number, since it is smaller than the sum of its proper divisors (1398772472).

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

1320753928 is a wasteful number, since it uses less digits than its factorization.

1320753928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862 (or 13845 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1320753928 is about 36342.1783606872. The cubic root of 1320753928 is about 1097.1701166588.

The spelling of 1320753928 in words is "one billion, three hundred twenty million, seven hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 71 104 142 169 284 338 568 676 923 1352 1846 3692 7384 11999 13759 23998 27518 47996 55036 95992 110072 178867 357734 715468 976889 1430936 1953778 2325271 3907556 4650542 7815112 9301084 12699557 18602168 25399114 50798228 101596456 165094241 330188482 660376964 1320753928