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1021041420 = 2235721731659
BaseRepresentation
bin111100110110111…
…101101100001100
32122011021021111220
4330312331230030
54042341311140
6245152243340
734205465100
oct7466755414
92564237456
101021041420
11484395593
12245b40550
131336c6629
1499867900
155e98abd0
hex3cdbdb0c

1021041420 has 288 divisors, whose sum is σ = 3640412160. Its totient is φ = 212244480.

The previous prime is 1021041383. The next prime is 1021041431. The reversal of 1021041420 is 241401201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021041420.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1549051 + ... + 1549709.

It is an arithmetic number, because the mean of its divisors is an integer number (12640320).

Almost surely, 21021041420 is an apocalyptic number.

1021041420 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 1021041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1021041420 is an abundant number, since it is smaller than the sum of its proper divisors (2619370740).

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

1021041420 is a wasteful number, since it uses less digits than its factorization.

1021041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1021041420 is about 31953.7387483844. The cubic root of 1021041420 is about 1006.9651802945.

Adding to 1021041420 its reverse (241401201), we get a palindrome (1262442621).

The spelling of 1021041420 in words is "one billion, twenty-one million, forty-one thousand, four hundred twenty".