Search a number
-
+
40220076 = 22313347743
BaseRepresentation
bin1001100101101…
…1010110101100
32210200101120110
42121123112230
540244020301
63554020020
7665602461
oct231332654
983611513
1040220076
1120780a36
1211577610
138442a80
1454ad668
1537e70d6
hex265b5ac

40220076 has 48 divisors (see below), whose sum is σ = 101493504. Its totient is φ = 12323136.

The previous prime is 40220069. The next prime is 40220083. The reversal of 40220076 is 67002204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40220069) and next prime (40220083).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53761 + ... + 54503.

It is an arithmetic number, because the mean of its divisors is an integer number (2114448).

Almost surely, 240220076 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 40220076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746752).

40220076 is an abundant number, since it is smaller than the sum of its proper divisors (61273428).

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

40220076 is a wasteful number, since it uses less digits than its factorization.

40220076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40220076 is about 6341.9299901528. The cubic root of 40220076 is about 342.6212503377.

It can be divided in two parts, 40 and 220076, that added together give a triangular number (220116 = T663).

The spelling of 40220076 in words is "forty million, two hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 347 694 743 1041 1388 1486 2082 2229 2972 4164 4458 4511 8916 9022 9659 13533 18044 19318 27066 28977 38636 54132 57954 115908 257821 515642 773463 1031284 1546926 3093852 3351673 6703346 10055019 13406692 20110038 40220076