Search a number
-
+
401103108 = 223273674337
BaseRepresentation
bin10111111010000…
…101100100000100
31000221202011000200
4113322011210010
51310140244413
6103445010500
712640214550
oct2772054404
91027664020
10401103108
1119645977a
12b23b3a30
1365139723
143b3b0860
1525330573
hex17e85904

401103108 has 72 divisors (see below), whose sum is σ = 1162167552. Its totient is φ = 114262272.

The previous prime is 401103103. The next prime is 401103127. The reversal of 401103108 is 801301104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (401103103) by changing a digit.

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, 90316 + ... + 94652.

It is an arithmetic number, because the mean of its divisors is an integer number (16141216).

Almost surely, 2401103108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401103108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581083776).

401103108 is an abundant number, since it is smaller than the sum of its proper divisors (761064444).

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

401103108 is a wasteful number, since it uses less digits than its factorization.

401103108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 401103108 is about 20027.5587129335. The cubic root of 401103108 is about 737.4829921578.

The spelling of 401103108 in words is "four hundred one million, one hundred three thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 367 734 1101 1468 2202 2569 3303 4337 4404 5138 6606 7707 8674 10276 13011 13212 15414 17348 23121 26022 30359 30828 39033 46242 52044 60718 78066 91077 92484 121436 156132 182154 273231 364308 546462 1092924 1591679 3183358 4775037 6366716 9550074 11141753 14325111 19100148 22283506 28650222 33425259 44567012 57300444 66850518 100275777 133701036 200551554 401103108