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400672 = 2519659
BaseRepresentation
bin1100001110100100000
3202100121201
41201310200
5100310142
612330544
73256066
oct1416440
9670551
10400672
11254038
12173a54
131104ac
14a6036
157dab7
hex61d20

400672 has 24 divisors (see below), whose sum is σ = 831600. Its totient is φ = 189504.

The previous prime is 400657. The next prime is 400679. The reversal of 400672 is 276004.

400672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×4006725 (a number of 29 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (400679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2400672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415800).

400672 is an abundant number, since it is smaller than the sum of its proper divisors (430928).

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

400672 is a wasteful number, since it uses less digits than its factorization.

400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 400672 is about 632.9865717375. The cubic root of 400672 is about 73.7218680409.

Adding to 400672 its reverse (276004), we get a palindrome (676676).

The spelling of 400672 in words is "four hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 659 1318 2636 5272 10544 12521 21088 25042 50084 100168 200336 400672