Search a number
-
+
40029714 = 2341032399
BaseRepresentation
bin1001100010110…
…0111000010010
32210022201110000
42120230320102
540221422324
63545550430
7664150464
oct230547022
983281400
1040029714
1120660a0a
12114a5416
1383a722a
145460134
1537aa9c9
hex262ce12

40029714 has 40 divisors (see below), whose sum is σ = 90604800. Its totient is φ = 13208184.

The previous prime is 40029709. The next prime is 40029727. The reversal of 40029714 is 41792004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15487 + ... + 17885.

It is an arithmetic number, because the mean of its divisors is an integer number (2265120).

Almost surely, 240029714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40029714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45302400).

40029714 is an abundant number, since it is smaller than the sum of its proper divisors (50575086).

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

40029714 is a wasteful number, since it uses less digits than its factorization.

40029714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40029714 is about 6326.9039822017. The cubic root of 40029714 is about 342.0798520837.

The spelling of 40029714 in words is "forty million, twenty-nine thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2399 2781 4798 5562 7197 8343 14394 16686 21591 43182 64773 129546 194319 247097 388638 494194 741291 1482582 2223873 4447746 6671619 13343238 20014857 40029714