Search a number
-
+
1330580916 = 223275280083
BaseRepresentation
bin100111101001111…
…0000110110110100
310102201201111212200
41033103300312310
510211112042131
6340010544500
744654515440
oct11723606664
93381644780
101330580916
11623095155
12311738130
131828844b2
14c8a01820
157bc312e6
hex4f4f0db4

1330580916 has 36 divisors (see below), whose sum is σ = 3843901152. Its totient is φ = 380165904.

The previous prime is 1330580873. The next prime is 1330580917. The reversal of 1330580916 is 6190850331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330580917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2639790 + ... + 2640293.

It is an arithmetic number, because the mean of its divisors is an integer number (106775032).

Almost surely, 21330580916 is an apocalyptic number.

It is an amenable number.

1330580916 is an abundant number, since it is smaller than the sum of its proper divisors (2513320236).

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

1330580916 is a wasteful number, since it uses less digits than its factorization.

1330580916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280100 (or 5280095 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1330580916 is about 36477.1286698940. The cubic root of 1330580916 is about 1099.8845377431.

The spelling of 1330580916 in words is "one billion, three hundred thirty million, five hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 5280083 10560166 15840249 21120332 31680498 36960581 47520747 63360996 73921162 95041494 110881743 147842324 190082988 221763486 332645229 443526972 665290458 1330580916