Search a number
-
+
40404540 = 223511292111
BaseRepresentation
bin1001101000100…
…0011000111100
32211000202121110
42122020120330
540320421130
64002002020
71000301331
oct232103074
984022543
1040404540
1120897590
1211646310
1384a8a17
14551a988
153831ab0
hex268863c

40404540 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 9452800.

The previous prime is 40404527. The next prime is 40404547. The reversal of 40404540 is 4540404.

It is a super-2 number, since 2×404045402 = 3265053705223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18085 + ... + 20195.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 240404540 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 40404540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

40404540 is an abundant number, since it is smaller than the sum of its proper divisors (87329220).

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

40404540 is a wasteful number, since it uses less digits than its factorization.

40404540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 40404540 is about 6356.4565600655. The cubic root of 40404540 is about 343.1442471146.

Adding to 40404540 its reverse (4540404), we get a palindrome (44944944).

The spelling of 40404540 in words is "forty million, four hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 2111 3190 3828 4222 4785 6333 6380 8444 9570 10555 12666 19140 21110 23221 25332 31665 42220 46442 61219 63330 69663 92884 116105 122438 126660 139326 183657 232210 244876 278652 306095 348315 367314 464420 612190 673409 696630 734628 918285 1224380 1346818 1393260 1836570 2020227 2693636 3367045 3673140 4040454 6734090 8080908 10101135 13468180 20202270 40404540