Search a number
-
+
40132500 = 223545351
BaseRepresentation
bin1001100100010…
…1111110010100
32210111221102220
42121011332110
540233220000
63552102340
7665056242
oct231057624
983457386
1040132500
1120721161
12115349b0
138411c55
145489792
1537cb1a0
hex2645f94

40132500 has 60 divisors (see below), whose sum is σ = 117037536. Its totient is φ = 10700000.

The previous prime is 40132439. The next prime is 40132511. The reversal of 40132500 is 523104.

40132500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×401325002 = 3221235112500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40132500.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4825 + ... + 10175.

Almost surely, 240132500 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 40132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58518768).

40132500 is an abundant number, since it is smaller than the sum of its proper divisors (76905036).

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

40132500 is a wasteful number, since it uses less digits than its factorization.

40132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40132500 is about 6335.0217047773. The cubic root of 40132500 is about 342.3723928341.

Adding to 40132500 its reverse (523104), we get a palindrome (40655604).

The spelling of 40132500 in words is "forty million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 5351 7500 10702 16053 21404 26755 32106 53510 64212 80265 107020 133775 160530 267550 321060 401325 535100 668875 802650 1337750 1605300 2006625 2675500 3344375 4013250 6688750 8026500 10033125 13377500 20066250 40132500