Search a number
-
+
40372220 = 2257535441
BaseRepresentation
bin1001101000000…
…0011111111100
32210222010021102
42122000133330
540313402340
64001152232
71000105160
oct232003774
983863242
1040372220
1120875279
121162b678
1384970b5
14550cca0
153827215
hex26807fc

40372220 has 48 divisors (see below), whose sum is σ = 98739648. Its totient is φ = 13578240.

The previous prime is 40372219. The next prime is 40372223. The reversal of 40372220 is 2227304.

It is a happy number.

40372220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403722202 = 3259832295456800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40372192 and 40372201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40372223) 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 15 ways as a sum of consecutive naturals, for example, 4700 + ... + 10140.

It is an arithmetic number, because the mean of its divisors is an integer number (2057076).

Almost surely, 240372220 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 40372220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49369824).

40372220 is an abundant number, since it is smaller than the sum of its proper divisors (58367428).

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

40372220 is a wasteful number, since it uses less digits than its factorization.

40372220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 40372220 is about 6353.9137545296. The cubic root of 40372220 is about 343.0527278572.

Adding to 40372220 its reverse (2227304), we get a palindrome (42599524).

The spelling of 40372220 in words is "forty million, three hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 5441 7420 10882 21764 27205 38087 54410 76174 108820 152348 190435 288373 380870 576746 761740 1153492 1441865 2018611 2883730 4037222 5767460 8074444 10093055 20186110 40372220