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40914 = 2322273
BaseRepresentation
bin1001111111010010
32002010100
421333102
52302124
6513230
7230166
oct117722
962110
1040914
1128815
121b816
1315813
1410ca6
15c1c9
hex9fd2

40914 has 12 divisors (see below), whose sum is σ = 88686. Its totient is φ = 13632.

The previous prime is 40903. The next prime is 40927. The reversal of 40914 is 41904.

40914 = T41 + T42 + ... + T67.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 13689 = 165^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2273 = 40914 / (4 + 0 + 9 + 1 + 4).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a zygodrome in base 8.

It is an unprimeable number.

40914 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1119 + ... + 1154.

240914 is an apocalyptic number.

40914 is an abundant number, since it is smaller than the sum of its proper divisors (47772).

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

40914 is a wasteful number, since it uses less digits than its factorization.

40914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40914 is about 202.2720939725. The cubic root of 40914 is about 34.4580460407.

Subtracting 40914 from its reverse (41904), we obtain a triangular number (990 = T44).

It can be divided in two parts, 4091 and 4, that added together give a triangular number (4095 = T90).

The spelling of 40914 in words is "forty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 2273 4546 6819 13638 20457 40914