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40413060 = 22335671117
BaseRepresentation
bin1001101000101…
…0011110000100
32211001012022000
42122022132010
540321204220
64002105300
71000335222
oct232123604
984035260
1040413060
11208a2a26
121164b230
1384ac86c
14551db12
153834390
hex268a784

40413060 has 96 divisors (see below), whose sum is σ = 127720320. Its totient is φ = 10606464.

The previous prime is 40413059. The next prime is 40413067. The reversal of 40413060 is 6031404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40413067) 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, 35622 + ... + 36738.

It is an arithmetic number, because the mean of its divisors is an integer number (1330420).

Almost surely, 240413060 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 40413060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63860160).

40413060 is an abundant number, since it is smaller than the sum of its proper divisors (87307260).

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

40413060 is a wasteful number, since it uses less digits than its factorization.

40413060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40413060 is about 6357.1267094498. The cubic root of 40413060 is about 343.1683647304.

Adding to 40413060 its reverse (6031404), we get a palindrome (46444464).

The spelling of 40413060 in words is "forty million, four hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1117 1206 1340 1809 2010 2234 2412 3015 3351 3618 4020 4468 5585 6030 6702 7236 9045 10053 11170 12060 13404 16755 18090 20106 22340 30159 33510 36180 40212 50265 60318 67020 74839 100530 120636 149678 150795 201060 224517 299356 301590 374195 449034 603180 673551 748390 898068 1122585 1347102 1496780 2020653 2245170 2694204 3367755 4041306 4490340 6735510 8082612 10103265 13471020 20206530 40413060