Search a number
-
+
402131240 = 235721991031
BaseRepresentation
bin10111111110000…
…000100100101000
31001000200101100122
4113332000210220
51310421144430
6103523022412
712652026200
oct2776004450
91030611318
10402131240
11196aa1175
12b280aa08
13654096a4
143b59b400
1525484ee5
hex17f80928

402131240 has 96 divisors (see below), whose sum is σ = 1058832000. Its totient is φ = 137047680.

The previous prime is 402131237. The next prime is 402131267. The reversal of 402131240 is 42131204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 389525 + ... + 390555.

It is an arithmetic number, because the mean of its divisors is an integer number (11029500).

Almost surely, 2402131240 is an apocalyptic number.

402131240 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 402131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529416000).

402131240 is an abundant number, since it is smaller than the sum of its proper divisors (656700760).

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

402131240 is a wasteful number, since it uses less digits than its factorization.

402131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 402131240 is about 20053.2102168206. The cubic root of 402131240 is about 738.1125750278.

Adding to 402131240 its reverse (42131204), we get a palindrome (444262444).

The spelling of 402131240 in words is "four hundred two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 199 245 280 392 398 490 796 980 995 1031 1393 1592 1960 1990 2062 2786 3980 4124 5155 5572 6965 7217 7960 8248 9751 10310 11144 13930 14434 19502 20620 27860 28868 36085 39004 41240 48755 50519 55720 57736 72170 78008 97510 101038 144340 195020 202076 205169 252595 288680 390040 404152 410338 505190 820676 1010380 1025845 1436183 1641352 2020760 2051690 2872366 4103380 5744732 7180915 8206760 10053281 11489464 14361830 20106562 28723660 40213124 50266405 57447320 80426248 100532810 201065620 402131240