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40716 = 22331329
BaseRepresentation
bin1001111100001100
32001212000
421330030
52300331
6512300
7226464
oct117414
961760
1040716
1128655
121b690
13156c0
1410ba4
15c0e6
hex9f0c

40716 has 48 divisors (see below), whose sum is σ = 117600. Its totient is φ = 12096.

The previous prime is 40709. The next prime is 40739. The reversal of 40716 is 61704.

40716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1390 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (2450).

240716 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 40716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800).

40716 is an abundant number, since it is smaller than the sum of its proper divisors (76884).

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

40716 is a wasteful number, since it uses less digits than its factorization.

40716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40716 is about 201.7820606496. The cubic root of 40716 is about 34.4023704874.

The spelling of 40716 in words is "forty thousand, seven hundred sixteen".