Search a number
-
+
1114669056 = 2153172329
BaseRepresentation
bin100001001110000…
…1000000000000000
32212200110001111010
41002130020000000
54240323402211
6302335120520
736423350004
oct10234100000
92780401433
101114669056
115222243a6
12271373140
13149c187b7
14a807a704
1567cd24a6
hex42708000

1114669056 has 256 divisors, whose sum is σ = 3397334400. Its totient is φ = 322961408.

The previous prime is 1114669051. The next prime is 1114669093. The reversal of 1114669056 is 6509664111.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×11146690562 = 2484974208807862272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114669051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38436850 + ... + 38436878.

Almost surely, 21114669056 is an apocalyptic number.

1114669056 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 1114669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698667200).

1114669056 is an abundant number, since it is smaller than the sum of its proper divisors (2282665344).

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

1114669056 is an equidigital number, since it uses as much as digits as its factorization.

1114669056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1114669056 is about 33386.6598509045. The cubic root of 1114669056 is about 1036.8485269163.

The spelling of 1114669056 in words is "one billion, one hundred fourteen million, six hundred sixty-nine thousand, fifty-six".