Search a number
-
+
1330452928 = 26716717783
BaseRepresentation
bin100111101001101…
…0001100111000000
310102201111000022101
41033103101213000
510211043443203
6340004120144
744653443340
oct11723214700
93381430271
101330452928
11623007a82
12311696054
1318283b16c
14c89aad20
157bc0841d
hex4f4d19c0

1330452928 has 56 divisors (see below), whose sum is σ = 3035515392. Its totient is φ = 566747904.

The previous prime is 1330452863. The next prime is 1330452931. The reversal of 1330452928 is 8292540331.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65925 + ... + 83707.

It is an arithmetic number, because the mean of its divisors is an integer number (54205632).

Almost surely, 21330452928 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 1330452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517757696).

1330452928 is an abundant number, since it is smaller than the sum of its proper divisors (1705062464).

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

1330452928 is a wasteful number, since it uses less digits than its factorization.

1330452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17969 (or 17959 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1330452928 is about 36475.3742681278. The cubic root of 1330452928 is about 1099.8492708071.

The spelling of 1330452928 in words is "one billion, three hundred thirty million, four hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 668 1169 1336 2338 2672 4676 5344 9352 10688 17783 18704 35566 37408 71132 74816 124481 142264 248962 284528 497924 569056 995848 1138112 1991696 2969761 3983392 5939522 7966784 11879044 20788327 23758088 41576654 47516176 83153308 95032352 166306616 190064704 332613232 665226464 1330452928