Search a number
-
+
40010010 = 23517194129
BaseRepresentation
bin1001100010100…
…0000100011010
32210021201102020
42120220010122
540220310020
63545315310
7664036155
oct230500432
983251366
1040010010
1120648127
1211495b36
13839b281
145456c9c
1537a4c40
hex262811a

40010010 has 64 divisors (see below), whose sum is σ = 107049600. Its totient is φ = 9510912.

The previous prime is 40009999. The next prime is 40010011. The reversal of 40010010 is 1001004.

It is a Harshad number since it is a multiple of its sum of digits (6).

40010010 is a modest number, since divided by 10010 gives 40 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7626 + ... + 11754.

It is an arithmetic number, because the mean of its divisors is an integer number (1672650).

Almost surely, 240010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53524800).

40010010 is an abundant number, since it is smaller than the sum of its proper divisors (67039590).

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

40010010 is a wasteful number, since it uses less digits than its factorization.

40010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 40010010 is about 6325.3466308180. The cubic root of 40010010 is about 342.0237150547.

Adding to 40010010 its reverse (1001004), we get a palindrome (41011014).

The spelling of 40010010 in words is "forty million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4129 4845 8258 9690 12387 20645 24774 41290 61935 70193 78451 123870 140386 156902 210579 235353 350965 392255 421158 470706 701930 784510 1052895 1176765 1333667 2105790 2353530 2667334 4001001 6668335 8002002 13336670 20005005 40010010