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400036 = 227213157
BaseRepresentation
bin1100001101010100100
3202022202011
41201222210
5100300121
612324004
73254200
oct1415244
9668664
10400036
1125360a
12173604
13110110
14a5b00
157d7e1
hex61aa4

400036 has 36 divisors (see below), whose sum is σ = 882588. Its totient is φ = 157248.

The previous prime is 400033. The next prime is 400051. The reversal of 400036 is 630004.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 313600 = 294^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

400036 is a modest number, since divided by 36 gives 4 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 399989 and 400025.

It is not an unprimeable number, because it can be changed into a prime (400031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470 + ... + 2626.

2400036 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 400036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441294).

400036 is an abundant number, since it is smaller than the sum of its proper divisors (482552).

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

400036 is a wasteful number, since it uses less digits than its factorization.

400036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 400036 is about 632.4839918923. The cubic root of 400036 is about 73.6828403254.

The spelling of 400036 in words is "four hundred thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 157 182 196 314 364 628 637 1099 1274 2041 2198 2548 4082 4396 7693 8164 14287 15386 28574 30772 57148 100009 200018 400036