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400241010 = 23513289887
BaseRepresentation
bin10111110110110…
…011000101110010
31000220010100110010
4113312303011302
51304430203020
6103414315350
712626664261
oct2766630562
91026110403
10400241010
11195a1aaa4
12b2058b56
1364bc7200
143b2285d8
152520ede0
hex17db3172

400241010 has 96 divisors (see below), whose sum is σ = 1053025920. Its totient is φ = 97304064.

The previous prime is 400240999. The next prime is 400241011. The reversal of 400241010 is 10142004.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400241011) 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 47 ways as a sum of consecutive naturals, for example, 450787 + ... + 451673.

It is an arithmetic number, because the mean of its divisors is an integer number (10969020).

Almost surely, 2400241010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400241010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526512960).

400241010 is an abundant number, since it is smaller than the sum of its proper divisors (652784910).

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

400241010 is a wasteful number, since it uses less digits than its factorization.

400241010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400241010 is about 20006.0243426824. The cubic root of 400241010 is about 736.9542514224.

Adding to 400241010 its reverse (10142004), we get a palindrome (410383014).

The spelling of 400241010 in words is "four hundred million, two hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 169 178 195 267 338 390 445 507 534 845 887 890 1014 1157 1335 1690 1774 2314 2535 2661 2670 3471 4435 5070 5322 5785 6942 8870 11531 11570 13305 15041 17355 23062 26610 30082 34593 34710 45123 57655 69186 75205 78943 90246 115310 149903 150410 157886 172965 225615 236829 299806 345930 394715 449709 451230 473658 749515 789430 899418 1026259 1184145 1499030 2052518 2248545 2368290 3078777 4497090 5131295 6157554 10262590 13341367 15393885 26682734 30787770 40024101 66706835 80048202 133413670 200120505 400241010