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40065400 = 23521631229
BaseRepresentation
bin1001100011010…
…1100101111000
32210101112101201
42120311211320
540224043100
63550423544
7664356514
oct230654570
983345351
1040065400
1120685801
1211501bb4
1383ba54b
14546d144
1537b636a
hex2635978

40065400 has 48 divisors (see below), whose sum is σ = 93799800. Its totient is φ = 15914880.

The previous prime is 40065367. The next prime is 40065407. The reversal of 40065400 is 456004.

40065400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40065407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31986 + ... + 33214.

Almost surely, 240065400 is an apocalyptic number.

40065400 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 40065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46899900).

40065400 is an abundant number, since it is smaller than the sum of its proper divisors (53734400).

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

40065400 is a wasteful number, since it uses less digits than its factorization.

40065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 40065400 is about 6329.7235326671. The cubic root of 40065400 is about 342.1814752246.

The spelling of 40065400 in words is "forty million, sixty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1229 1304 1630 2458 3260 4075 4916 6145 6520 8150 9832 12290 16300 24580 30725 32600 49160 61450 122900 200327 245800 400654 801308 1001635 1602616 2003270 4006540 5008175 8013080 10016350 20032700 40065400