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40020100 = 22524143227
BaseRepresentation
bin1001100010101…
…0100010000100
32210022020020221
42120222202010
540221120400
63545434124
7664110451
oct230524204
983266227
1040020100
112065476a
121149b944
1383a2a43
14545a828
1537a7c1a
hex262a884

40020100 has 72 divisors (see below), whose sum is σ = 91431648. Its totient is φ = 15187200.

The previous prime is 40020089. The next prime is 40020103. The reversal of 40020100 is 102004.

It is not an unprimeable number, because it can be changed into a prime (40020103) 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, 176187 + ... + 176413.

It is an arithmetic number, because the mean of its divisors is an integer number (1269884).

Almost surely, 240020100 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 40020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45715824).

40020100 is an abundant number, since it is smaller than the sum of its proper divisors (51411548).

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

40020100 is a wasteful number, since it uses less digits than its factorization.

40020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 40020100 is about 6326.1441652874. The cubic root of 40020100 is about 342.0524639371.

Adding to 40020100 its reverse (102004), we get a palindrome (40122104).

The spelling of 40020100 in words is "forty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 43 50 82 86 100 164 172 205 215 227 410 430 454 820 860 908 1025 1075 1135 1763 2050 2150 2270 3526 4100 4300 4540 5675 7052 8815 9307 9761 11350 17630 18614 19522 22700 35260 37228 39044 44075 46535 48805 88150 93070 97610 176300 186140 195220 232675 244025 400201 465350 488050 800402 930700 976100 1600804 2001005 4002010 8004020 10005025 20010050 40020100