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2061430800 = 24352111341293
BaseRepresentation
bin111101011011110…
…1111000000010000
312022122221112102220
41322313233000100
513210211241200
6540315341040
7102040605222
oct17267570020
95278845386
102061430800
11968695520
12496451780
1326b105650
14157aca412
15c0e994a0
hex7adef010

2061430800 has 480 divisors, whose sum is σ = 7974239616. Its totient is φ = 448512000.

The previous prime is 2061430771. The next prime is 2061430817. The reversal of 2061430800 is 80341602.

It is a happy number.

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

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, 7035454 + ... + 7035746.

Almost surely, 22061430800 is an apocalyptic number.

2061430800 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 2061430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987119808).

2061430800 is an abundant number, since it is smaller than the sum of its proper divisors (5912808816).

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

2061430800 is a wasteful number, since it uses less digits than its factorization.

2061430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2061430800 is about 45402.9822809031. The cubic root of 2061430800 is about 1272.6908454014.

The spelling of 2061430800 in words is "two billion, sixty-one million, four hundred thirty thousand, eight hundred".