Search a number
-
+
1330310200 = 235228123671
BaseRepresentation
bin100111101001010…
…1110110000111000
310102201012202112011
41033102232300320
510211024411300
6340001055304
744652310252
oct11722566070
93381182464
101330310200
11622a1a81a
12311627534
131827bb1cb
14c8970cd2
157bbcaeba
hex4f4aec38

1330310200 has 48 divisors (see below), whose sum is σ = 3104109360. Its totient is φ = 530208000.

The previous prime is 1330310183. The next prime is 1330310227. The reversal of 1330310200 is 20130331.

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, 44365 + ... + 68035.

It is an arithmetic number, because the mean of its divisors is an integer number (64668945).

Almost surely, 21330310200 is an apocalyptic number.

1330310200 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 1330310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552054680).

1330310200 is an abundant number, since it is smaller than the sum of its proper divisors (1773799160).

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

1330310200 is a wasteful number, since it uses less digits than its factorization.

1330310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23968 (or 23959 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1330310200 is about 36473.4177175652. The cubic root of 1330310200 is about 1099.8099396146.

Adding to 1330310200 its reverse (20130331), we get a palindrome (1350440531).

The spelling of 1330310200 in words is "one billion, three hundred thirty million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 562 1124 1405 2248 2810 5620 7025 11240 14050 23671 28100 47342 56200 94684 118355 189368 236710 473420 591775 946840 1183550 2367100 4734200 6651551 13303102 26606204 33257755 53212408 66515510 133031020 166288775 266062040 332577550 665155100 1330310200