Search a number
-
+
1330454160 = 2436573259
BaseRepresentation
bin100111101001101…
…0001111010010000
310102201111002000000
41033103101322100
510211044013120
6340004130000
744653450050
oct11723217220
93381432000
101330454160
116230089a2
12311696900
1318283b8a9
14c89ab560
157bc08990
hex4f4d1e90

1330454160 has 280 divisors, whose sum is σ = 5302011840. Its totient is φ = 304010496.

The previous prime is 1330454149. The next prime is 1330454173. The reversal of 1330454160 is 614540331.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×13304541602 = 3540216543722611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 406611 + ... + 409869.

Almost surely, 21330454160 is an apocalyptic number.

1330454160 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 1330454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651005920).

1330454160 is an abundant number, since it is smaller than the sum of its proper divisors (3971557680).

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

1330454160 is an equidigital number, since it uses as much as digits as its factorization.

1330454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1330454160 is about 36475.3911562303. The cubic root of 1330454160 is about 1099.8496102940.

Adding to 1330454160 its reverse (614540331), we get a palindrome (1944994491).

The spelling of 1330454160 in words is "one billion, three hundred thirty million, four hundred fifty-four thousand, one hundred sixty".