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402040240 = 24573123159
BaseRepresentation
bin10111111101101…
…010010110110000
31001000111202112021
4113331222112300
51310410241430
6103521041224
712651166660
oct2775522660
91030452467
10402040240
11196a39868
12b2786214
13653a7144
143b5761a0
152546807a
hex17f6a5b0

402040240 has 80 divisors (see below), whose sum is σ = 1102786560. Its totient is φ = 133390080.

The previous prime is 402040237. The next prime is 402040241. The reversal of 402040240 is 42040204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (402040241) 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 15 ways as a sum of consecutive naturals, for example, 5781 + ... + 28939.

It is an arithmetic number, because the mean of its divisors is an integer number (13784832).

Almost surely, 2402040240 is an apocalyptic number.

402040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551393280).

402040240 is an abundant number, since it is smaller than the sum of its proper divisors (700746320).

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

402040240 is a wasteful number, since it uses less digits than its factorization.

402040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23210 (or 23204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 402040240 is about 20050.9411250445. The cubic root of 402040240 is about 738.0568939425.

Adding to 402040240 its reverse (42040204), we get a palindrome (444080444).

The spelling of 402040240 in words is "four hundred two million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 23159 46318 92636 115795 162113 185272 231590 324226 370544 463180 648452 717929 810565 926360 1296904 1435858 1621130 1852720 2593808 2871716 3242260 3589645 5025503 5743432 6484520 7179290 10051006 11486864 12969040 14358580 20102012 25127515 28717160 40204024 50255030 57434320 80408048 100510060 201020120 402040240