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40120506 = 23237107563
BaseRepresentation
bin1001100100001…
…1000010111010
32210111022222200
42121003002322
540232324011
63551531030
7665006256
oct231030272
983438880
1040120506
1120713148
1211529a76
13840965a
145485266
1537c7856
hex26430ba

40120506 has 48 divisors (see below), whose sum is σ = 90271584. Its totient is φ = 12867552.

The previous prime is 40120501. The next prime is 40120511. The reversal of 40120506 is 60502104.

It is a happy number.

40120506 is a `hidden beast` number, since 40 + 120 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (40120501) and next prime (40120511).

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

It is not an unprimeable number, because it can be changed into a prime (40120501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 70981 + ... + 71543.

It is an arithmetic number, because the mean of its divisors is an integer number (1880658).

Almost surely, 240120506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40120506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45135792).

40120506 is an abundant number, since it is smaller than the sum of its proper divisors (50151078).

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

40120506 is a wasteful number, since it uses less digits than its factorization.

40120506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40120506 is about 6334.0749916622. The cubic root of 40120506 is about 342.3382822950.

The spelling of 40120506 in words is "forty million, one hundred twenty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 37 74 107 111 214 222 321 333 563 642 666 963 1126 1689 1926 3378 3959 5067 7918 10134 11877 20831 23754 35631 41662 60241 62493 71262 120482 124986 180723 187479 361446 374958 542169 1084338 2228917 4457834 6686751 13373502 20060253 40120506