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40106742 = 23132371069
BaseRepresentation
bin1001100011111…
…1101011110110
32210110122002220
42120333223312
540231403432
63551343210
7664621164
oct230775366
983418086
1040106742
1120703875
1211521b06
138403300
145480234
1537c372c
hex263faf6

40106742 has 48 divisors (see below), whose sum is σ = 89289360. Its totient is φ = 11995776.

The previous prime is 40106713. The next prime is 40106767. The reversal of 40106742 is 24760104.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36984 + ... + 38052.

It is an arithmetic number, because the mean of its divisors is an integer number (1860195).

Almost surely, 240106742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40106742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44644680).

40106742 is an abundant number, since it is smaller than the sum of its proper divisors (49182618).

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

40106742 is a wasteful number, since it uses less digits than its factorization.

40106742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40106742 is about 6332.9883941154. The cubic root of 40106742 is about 342.2991295564.

Adding to 40106742 its reverse (24760104), we get a palindrome (64866846).

The spelling of 40106742 in words is "forty million, one hundred six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 169 222 338 481 507 962 1014 1069 1443 2138 2886 3207 6253 6414 12506 13897 18759 27794 37518 39553 41691 79106 83382 118659 180661 237318 361322 514189 541983 1028378 1083966 1542567 3085134 6684457 13368914 20053371 40106742