Search a number
-
+
400185036 = 22352914197
BaseRepresentation
bin10111110110100…
…101011011001100
31000220000111200000
4113312211123030
51304421410121
6103413204300
712626342136
oct2766453314
91026014600
10400185036
11195991a39
12b2030690
1364ba78a4
143b212056
15251ed526
hex17da56cc

400185036 has 72 divisors (see below), whose sum is σ = 1085295120. Its totient is φ = 128786112.

The previous prime is 400184987. The next prime is 400185041. The reversal of 400185036 is 630581004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21090 + ... + 35286.

Almost surely, 2400185036 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 400185036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542647560).

400185036 is an abundant number, since it is smaller than the sum of its proper divisors (685110084).

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

400185036 is a wasteful number, since it uses less digits than its factorization.

400185036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 400185036 is about 20004.6253651499. The cubic root of 400185036 is about 736.9198952892.

It can be divided in two parts, 40018 and 5036, that added together give a palindrome (45054).

The spelling of 400185036 in words is "four hundred million, one hundred eighty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 14197 28188 28394 42591 56788 85182 127773 170364 255546 383319 411713 511092 766638 823426 1149957 1235139 1533276 1646852 2299914 2470278 3449871 3705417 4599828 4940556 6899742 7410834 11116251 13799484 14821668 22232502 33348753 44465004 66697506 100046259 133395012 200092518 400185036