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1120304640 = 29357213229
BaseRepresentation
bin100001011000110…
…0111111000000000
32220002001101001110
41002301213320000
54243244222030
6303100003320
736522301200
oct10261477000
92802041043
101120304640
11525423504
12273230540
1314b13c970
14a8b06400
15685471b0
hex42c67e00

1120304640 has 480 divisors, whose sum is σ = 4506274080. Its totient is φ = 235339776.

The previous prime is 1120304621. The next prime is 1120304651. The reversal of 1120304640 is 464030211.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 4892046 + ... + 4892274.

It is an arithmetic number, because the mean of its divisors is an integer number (9388071).

Almost surely, 21120304640 is an apocalyptic number.

1120304640 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 1120304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253137040).

1120304640 is an abundant number, since it is smaller than the sum of its proper divisors (3385969440).

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

1120304640 is a wasteful number, since it uses less digits than its factorization.

1120304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1120304640 is about 33470.9521824522. The cubic root of 1120304640 is about 1038.5929690610.

Adding to 1120304640 its reverse (464030211), we get a palindrome (1584334851).

The spelling of 1120304640 in words is "one billion, one hundred twenty million, three hundred four thousand, six hundred forty".