Search a number
-
+
1613445120 = 21132574161
BaseRepresentation
bin110000000101011…
…0011100000000000
311011102222111121200
41200022303200000
511301020220440
6424033421200
754661025430
oct14012634000
94142874550
101613445120
11758825221
1239040a800
131c9362771
141143d42c0
15969a7c30
hex602b3800

1613445120 has 576 divisors, whose sum is σ = 6653949120. Its totient is φ = 353894400.

The previous prime is 1613445103. The next prime is 1613445121. The reversal of 1613445120 is 215443161.

It is a happy number.

1613445120 is a `hidden beast` number, since 1 + 613 + 4 + 45 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613445121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26449890 + ... + 26449950.

It is an arithmetic number, because the mean of its divisors is an integer number (11551995).

Almost surely, 21613445120 is an apocalyptic number.

1613445120 is a gapful number since it is divisible by the number (10) 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 1613445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326974560).

1613445120 is an abundant number, since it is smaller than the sum of its proper divisors (5040504000).

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

1613445120 is a wasteful number, since it uses less digits than its factorization.

1613445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1613445120 is about 40167.7124068573. The cubic root of 1613445120 is about 1172.8741086279.

Adding to 1613445120 its reverse (215443161), we get a palindrome (1828888281).

It can be divided in two parts, 161344 and 5120, that added together give a square (166464 = 4082).

The spelling of 1613445120 in words is "one billion, six hundred thirteen million, four hundred forty-five thousand, one hundred twenty".