Search a number
-
+
40100310 = 23251133943
BaseRepresentation
bin1001100011111…
…0000111010110
32210110022021200
42120332013112
540231202220
63551253330
7664563345
oct230760726
983408250
1040100310
11206a9a58
121151a246
1384003c3
14547bb5c
1537c1890
hex263e1d6

40100310 has 48 divisors (see below), whose sum is σ = 105210144. Its totient is φ = 10596096.

The previous prime is 40100299. The next prime is 40100323. The reversal of 40100310 is 1300104.

It is a super-2 number, since 2×401003102 = 3216069724192200, which contains 22 as substring.

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 = 40100292 and 40100301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8199 + ... + 12141.

It is an arithmetic number, because the mean of its divisors is an integer number (2191878).

Almost surely, 240100310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52605072).

40100310 is an abundant number, since it is smaller than the sum of its proper divisors (65109834).

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

40100310 is a wasteful number, since it uses less digits than its factorization.

40100310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40100310 is about 6332.4805566223. The cubic root of 40100310 is about 342.2808301750.

Adding to 40100310 its reverse (1300104), we get a palindrome (41400414).

The spelling of 40100310 in words is "forty million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 3943 5085 7886 10170 11829 19715 23658 35487 39430 59145 70974 118290 177435 354870 445559 891118 1336677 2227795 2673354 4010031 4455590 6683385 8020062 13366770 20050155 40100310