Search a number
-
+
1219027968 = 210362371
BaseRepresentation
bin100100010101000…
…1110010000000000
310010221211001000000
41020222032100000
54444032343333
6320544000000
742131365254
oct11052162000
93127731000
101219027968
11576122834
122a0300000
13165727332
14b7c84264
1572048713
hex48a8e400

1219027968 has 308 divisors, whose sum is σ = 3866177088. Its totient is φ = 383201280.

The previous prime is 1219027933. The next prime is 1219028017. The reversal of 1219027968 is 8697209121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17169373 + ... + 17169443.

Almost surely, 21219027968 is an apocalyptic number.

1219027968 is a gapful number since it is divisible by the number (18) 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 1219027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933088544).

1219027968 is an abundant number, since it is smaller than the sum of its proper divisors (2647149120).

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

1219027968 is an frugal number, since it uses more digits than its factorization.

1219027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1219027968 is about 34914.5810228334. The cubic root of 1219027968 is about 1068.2458719361.

The spelling of 1219027968 in words is "one billion, two hundred nineteen million, twenty-seven thousand, nine hundred sixty-eight".