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401694720 = 213357467
BaseRepresentation
bin10111111100010…
…110000000000000
31000222212012120020
4113330112000000
51310313212340
6103505413440
712645230430
oct2774260000
91028765506
10401694720
11196823209
12b263a280
13652b5aab
143b4c62c0
15253ea9d0
hex17f16000

401694720 has 224 divisors, whose sum is σ = 1472110848. Its totient is φ = 91619328.

The previous prime is 401694679. The next prime is 401694739. The reversal of 401694720 is 27496104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4016947202 = 322717296151756800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859927 + ... + 860393.

Almost surely, 2401694720 is an apocalyptic number.

401694720 is a gapful number since it is divisible by the number (40) 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 401694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736055424).

401694720 is an abundant number, since it is smaller than the sum of its proper divisors (1070416128).

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

401694720 is an equidigital number, since it uses as much as digits as its factorization.

401694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 401694720 is about 20042.3232186291. The cubic root of 401694720 is about 737.8454005962.

The spelling of 401694720 in words is "four hundred one million, six hundred ninety-four thousand, seven hundred twenty".