Search a number
-
+
402021540 = 223252279839
BaseRepresentation
bin10111111101100…
…101110010100100
31001000110210212200
4113331211302210
51310404142130
6103520414500
712651061314
oct2775456244
91030423780
10402021540
11196a26808
12b2777430
136539b78b
143b56d444
1525462760
hex17f65ca4

402021540 has 72 divisors (see below), whose sum is σ = 1224961920. Its totient is φ = 106722624.

The previous prime is 402021527. The next prime is 402021541. The reversal of 402021540 is 45120204.

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

It is not an unprimeable number, because it can be changed into a prime (402021541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35941 + ... + 45779.

It is an arithmetic number, because the mean of its divisors is an integer number (17013360).

Almost surely, 2402021540 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 402021540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612480960).

402021540 is an abundant number, since it is smaller than the sum of its proper divisors (822940380).

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

402021540 is a wasteful number, since it uses less digits than its factorization.

402021540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 402021540 is about 20050.4748073456. The cubic root of 402021540 is about 738.0454507448.

Adding to 402021540 its reverse (45120204), we get a palindrome (447141744).

The spelling of 402021540 in words is "four hundred two million, twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2724 3405 4086 4540 6810 8172 9839 10215 13620 19678 20430 29517 39356 40860 49195 59034 88551 98390 118068 147585 177102 196780 295170 354204 442755 590340 885510 1771020 2233453 4466906 6700359 8933812 11167265 13400718 20101077 22334530 26801436 33501795 40202154 44669060 67003590 80404308 100505385 134007180 201010770 402021540