Search a number
-
+
40756660 = 2257893271
BaseRepresentation
bin1001101101111…
…0010110110100
32211200122121221
42123132112310
540413203120
64013320124
71003266040
oct233362664
984618557
1040756660
112100809a
1211796044
1385a0089
1455ad020
1538a10aa
hex26de5b4

40756660 has 48 divisors (see below), whose sum is σ = 98945280. Its totient is φ = 13812480.

The previous prime is 40756649. The next prime is 40756663. The reversal of 40756660 is 6665704.

It is a super-2 number, since 2×407566602 = 3322210668711200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40756663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10825 + ... + 14095.

It is an arithmetic number, because the mean of its divisors is an integer number (2061360).

Almost surely, 240756660 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 40756660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49472640).

40756660 is an abundant number, since it is smaller than the sum of its proper divisors (58188620).

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

40756660 is a wasteful number, since it uses less digits than its factorization.

40756660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 40756660 is about 6384.0942975492. The cubic root of 40756660 is about 344.1381836230.

The spelling of 40756660 in words is "forty million, seven hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 3271 6230 6542 12460 13084 16355 22897 32710 45794 65420 91588 114485 228970 291119 457940 582238 1164476 1455595 2037833 2911190 4075666 5822380 8151332 10189165 20378330 40756660