Search a number
-
+
401210010 = 2355414027
BaseRepresentation
bin10111111010011…
…111101010011010
31000221221120200000
4113322133222122
51310202210020
6103451153430
712641141325
oct2772375232
91027846600
10401210010
11196522023
12b2445876
1365176296
143b3db7bc
1525352090
hex17e9fa9a

401210010 has 96 divisors (see below), whose sum is σ = 1108441152. Its totient is φ = 104353920.

The previous prime is 401209961. The next prime is 401210027. The reversal of 401210010 is 10012104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 401209974 and 401210001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97617 + ... + 101643.

It is an arithmetic number, because the mean of its divisors is an integer number (11546262).

Almost surely, 2401210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554220576).

401210010 is an abundant number, since it is smaller than the sum of its proper divisors (707231142).

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

401210010 is a wasteful number, since it uses less digits than its factorization.

401210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 401210010 is about 20030.2274075958. The cubic root of 401210010 is about 737.5485043269.

Adding to 401210010 its reverse (10012104), we get a palindrome (411222114).

The spelling of 401210010 in words is "four hundred one million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 738 810 1107 1215 1230 1845 2214 2430 3321 3690 4027 5535 6642 8054 9963 11070 12081 16605 19926 20135 24162 33210 36243 40270 49815 60405 72486 99630 108729 120810 165107 181215 217458 326187 330214 362430 495321 543645 652374 825535 978561 990642 1087290 1485963 1630935 1651070 1957122 2476605 2971926 3261870 4457889 4892805 4953210 7429815 8915778 9785610 13373667 14859630 22289445 26747334 40121001 44578890 66868335 80242002 133736670 200605005 401210010