Search a number
-
+
1581780096 = 2733131719109
BaseRepresentation
bin101111001001000…
…0000110010000000
311002020101202101000
41132102000302000
511214413430341
6420543012000
754124623531
oct13622006200
94066352330
101581780096
11741967886
1238189a000
131c2926970
14110110688
1593d008b6
hex5e480c80

1581780096 has 512 divisors, whose sum is σ = 5654880000. Its totient is φ = 429981696.

The previous prime is 1581780017. The next prime is 1581780119. The reversal of 1581780096 is 6900871851.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14511690 + ... + 14511798.

Almost surely, 21581780096 is an apocalyptic number.

1581780096 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 1581780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440000).

1581780096 is an abundant number, since it is smaller than the sum of its proper divisors (4073099904).

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

1581780096 is a wasteful number, since it uses less digits than its factorization.

1581780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 1581780096 is about 39771.5991129348. The cubic root of 1581780096 is about 1165.1505257190.

The spelling of 1581780096 in words is "one billion, five hundred eighty-one million, seven hundred eighty thousand, ninety-six".