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2420427000 = 233532943647
BaseRepresentation
bin1001000001000100…
…1100100011111000
320020200110102122110
42100101030203320
514424112131000
61040102052320
7113660201325
oct22021144370
96220412573
102420427000
1110322a46a2
1257671a0a0
132c75bb534
1418d659b4c
15e275d850
hex9044c8f8

2420427000 has 256 divisors, whose sum is σ = 8006169600. Its totient is φ = 607756800.

The previous prime is 2420426977. The next prime is 2420427013. The reversal of 2420427000 is 7240242.

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, 3740677 + ... + 3741323.

It is an arithmetic number, because the mean of its divisors is an integer number (31274100).

Almost surely, 22420427000 is an apocalyptic number.

2420427000 is a gapful number since it is divisible by the number (20) 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 2420427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003084800).

2420427000 is an abundant number, since it is smaller than the sum of its proper divisors (5585742600).

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

2420427000 is a wasteful number, since it uses less digits than its factorization.

2420427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2420427000 is about 49197.8353182333. The cubic root of 2420427000 is about 1342.6536483771.

Adding to 2420427000 its reverse (7240242), we get a palindrome (2427667242).

The spelling of 2420427000 in words is "two billion, four hundred twenty million, four hundred twenty-seven thousand".