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40146270 = 2352383701
BaseRepresentation
bin1001100100100…
…1010101011110
32210112122022220
42121021111132
540234140040
63552250210
7665144343
oct231112536
983478286
1040146270
112073053a
1211540966
1384182b8
1454907ca
1537d02d0
hex264955e

40146270 has 64 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 10102400.

The previous prime is 40146269. The next prime is 40146283. The reversal of 40146270 is 7264104.

40146270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401462702 = 3223445989825800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40146270.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56920 + ... + 57620.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 240146270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40146270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

40146270 is an abundant number, since it is smaller than the sum of its proper divisors (61750434).

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

40146270 is a wasteful number, since it uses less digits than its factorization.

40146270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817.

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

The square root of 40146270 is about 6336.1084271026. The cubic root of 40146270 is about 342.4115458793.

The spelling of 40146270 in words is "forty million, one hundred forty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 701 830 1245 1402 1909 2103 2490 3505 3818 4206 5727 7010 9545 10515 11454 16123 19090 21030 28635 32246 48369 57270 58183 80615 96738 116366 161230 174549 241845 290915 349098 483690 581830 872745 1338209 1745490 2676418 4014627 6691045 8029254 13382090 20073135 40146270