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399800016 = 2433721117101
BaseRepresentation
bin10111110101000…
…111011011010000
31000212021221112000
4113311013123100
51304322100031
6103401034000
712623146500
oct2765073320
91025257460
10399800016
11195749740
12b1a85900
1364aa1575
143b151a00
15251743e6
hex17d476d0

399800016 has 480 divisors, whose sum is σ = 1557221760. Its totient is φ = 96768000.

The previous prime is 399799997. The next prime is 399800047. The reversal of 399800016 is 610008993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3958366 + ... + 3958466.

It is an arithmetic number, because the mean of its divisors is an integer number (3244212).

Almost surely, 2399800016 is an apocalyptic number.

399800016 is a gapful number since it is divisible by the number (36) 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 399800016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778610880).

399800016 is an abundant number, since it is smaller than the sum of its proper divisors (1157421744).

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

399800016 is a wasteful number, since it uses less digits than its factorization.

399800016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 399800016 is about 19994.9997749437. Note that the first 3 decimals coincide. The cubic root of 399800016 is about 736.6834880330.

The spelling of 399800016 in words is "three hundred ninety-nine million, eight hundred thousand, sixteen".