Search a number
-
+
40107726 = 23217131071
BaseRepresentation
bin1001100011111…
…1111011001110
32210110200110100
42120333323032
540231421401
63551351530
7664624101
oct230777316
983420410
1040107726
112070458a
12115225a6
1384038a9
145480738
1537c3b86
hex263fece

40107726 has 24 divisors (see below), whose sum is σ = 92012544. Its totient is φ = 12582720.

The previous prime is 40107721. The next prime is 40107731. The reversal of 40107726 is 62770104.

It is an interprime number because it is at equal distance from previous prime (40107721) and next prime (40107731).

It is a self number, because there is not a number n which added to its sum of digits gives 40107726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65230 + ... + 65841.

It is an arithmetic number, because the mean of its divisors is an integer number (3833856).

Almost surely, 240107726 is an apocalyptic number.

40107726 is an abundant number, since it is smaller than the sum of its proper divisors (51904818).

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

40107726 is a wasteful number, since it uses less digits than its factorization.

40107726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131096 (or 131093 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40107726 is about 6333.0660820806. The cubic root of 40107726 is about 342.3019289161.

The spelling of 40107726 in words is "forty million, one hundred seven thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 131071 262142 393213 786426 1179639 2228207 2359278 4456414 6684621 13369242 20053863 40107726