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1120242420 = 22335111031831
BaseRepresentation
bin100001011000101…
…1000101011110100
32220001221012201000
41002301120223310
54243240224140
6303054403300
736521621613
oct10261305364
92801835630
101120242420
11525390790
12273200530
1314b11a54b
14a8acb87a
1568533a30
hex42c58af4

1120242420 has 192 divisors, whose sum is σ = 3841044480. Its totient is φ = 268790400.

The previous prime is 1120242419. The next prime is 1120242433. The reversal of 1120242420 is 242420211.

1120242420 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 242 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120242393 and 1120242402.

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, 610905 + ... + 612735.

It is an arithmetic number, because the mean of its divisors is an integer number (20005440).

Almost surely, 21120242420 is an apocalyptic number.

1120242420 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 1120242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920522240).

1120242420 is an abundant number, since it is smaller than the sum of its proper divisors (2720802060).

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

1120242420 is a wasteful number, since it uses less digits than its factorization.

1120242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1120242420 is about 33470.0227068940. The cubic root of 1120242420 is about 1038.5737414186.

Adding to 1120242420 its reverse (242420211), we get a palindrome (1362662631).

The spelling of 1120242420 in words is "one billion, one hundred twenty million, two hundred forty-two thousand, four hundred twenty".