Search a number
-
+
1145010048 = 273721331151
BaseRepresentation
bin100010000111111…
…0111011110000000
32221210112112111120
41010033313132000
54321110310143
6305341312240
740242265500
oct10417673600
92853475446
101145010048
11538367aa6
1227b565680
131532aca50
14ac0d7a00
156a7c7383
hex443f7780

1145010048 has 384 divisors, whose sum is σ = 3959101440. Its totient is φ = 290304000.

The previous prime is 1145010007. The next prime is 1145010073. The reversal of 1145010048 is 8400105411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11450100482 = 2622096020041924608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7582773 + ... + 7582923.

It is an arithmetic number, because the mean of its divisors is an integer number (10310160).

Almost surely, 21145010048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979550720).

1145010048 is an abundant number, since it is smaller than the sum of its proper divisors (2814091392).

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

1145010048 is a wasteful number, since it uses less digits than its factorization.

1145010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1145010048 is about 33837.9971038476. The cubic root of 1145010048 is about 1046.1720168435.

Adding to 1145010048 its reverse (8400105411), we get a palindrome (9545115459).

The spelling of 1145010048 in words is "one billion, one hundred forty-five million, ten thousand, forty-eight".