Search a number
-
+
401210106 = 231125310427
BaseRepresentation
bin10111111010011…
…111101011111010
31000221221120210120
4113322133223322
51310202210411
6103451154110
712641141523
oct2772375372
91027846716
10401210106
11196522100
12b2445936
136517633b
143b3db84a
1525352106
hex17e9fafa

401210106 has 48 divisors (see below), whose sum is σ = 898726752. Its totient is φ = 119273440.

The previous prime is 401210093. The next prime is 401210107. The reversal of 401210106 is 601012104.

It is not an unprimeable number, because it can be changed into a prime (401210107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33265 + ... + 43691.

It is an arithmetic number, because the mean of its divisors is an integer number (18723474).

Almost surely, 2401210106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401210106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449363376).

401210106 is an abundant number, since it is smaller than the sum of its proper divisors (497516646).

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

401210106 is a wasteful number, since it uses less digits than its factorization.

401210106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 401210106 is about 20030.2298039738. The cubic root of 401210106 is about 737.5485631528.

The spelling of 401210106 in words is "four hundred one million, two hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 6413 10427 12826 19239 20854 31281 38478 62562 114697 229394 344091 552631 688182 1105262 1261667 1657893 2523334 3315786 3785001 6078941 7570002 12157882 18236823 36473646 66868351 133736702 200605053 401210106