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40169640 = 23357172997
BaseRepresentation
bin1001100100111…
…1000010101000
32210120211101110
42121033002220
540240412030
63552550320
7665302440
oct231170250
983524343
1040169640
1120747055
12115523a0
138425b24
145499120
1537d71b0
hex264f0a8

40169640 has 256 divisors, whose sum is σ = 152409600. Its totient is φ = 8257536.

The previous prime is 40169609. The next prime is 40169653. The reversal of 40169640 is 4696104.

It is a super-2 number, since 2×401696402 = 3227199955459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40169598 and 40169607.

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 63 ways as a sum of consecutive naturals, for example, 414072 + ... + 414168.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 240169640 is an apocalyptic number.

40169640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40169640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

40169640 is an abundant number, since it is smaller than the sum of its proper divisors (112239960).

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

40169640 is a wasteful number, since it uses less digits than its factorization.

40169640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40169640 is about 6337.9523507202. The cubic root of 40169640 is about 342.4779746790.

The spelling of 40169640 in words is "forty million, one hundred sixty-nine thousand, six hundred forty".