Search a number
-
+
1530206496 = 2532721319439
BaseRepresentation
bin101101100110101…
…0001100100100000
310221122100112200200
41123031101210200
511113213101441
6411501345200
752630353300
oct13315214440
93848315620
101530206496
11715841875
12368568200
131b503a240
14107327600
158e5147b6
hex5b351920

1530206496 has 432 divisors, whose sum is σ = 5751345600. Its totient is φ = 381459456.

The previous prime is 1530206473. The next prime is 1530206497. The reversal of 1530206496 is 6946020351.

It is a happy number.

1530206496 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 2 + 0 + 649 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1530206496.

It is not an unprimeable number, because it can be changed into a prime (1530206497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3485445 + ... + 3485883.

It is an arithmetic number, because the mean of its divisors is an integer number (13313300).

Almost surely, 21530206496 is an apocalyptic number.

1530206496 is a gapful number since it is divisible by the number (16) 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 1530206496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875672800).

1530206496 is an abundant number, since it is smaller than the sum of its proper divisors (4221139104).

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

1530206496 is a wasteful number, since it uses less digits than its factorization.

1530206496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1530206496 is about 39117.8539288648. The cubic root of 1530206496 is about 1152.3471899135.

The spelling of 1530206496 in words is "one billion, five hundred thirty million, two hundred six thousand, four hundred ninety-six".