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40146240 = 2635193171
BaseRepresentation
bin1001100100100…
…1010101000000
32210112122021210
42121021111000
540234134430
63552250120
7665144301
oct231112500
983478253
1040146240
1120730512
1211540940
138418294
1454907a8
1537d02b0
hex2649540

40146240 has 224 divisors, whose sum is σ = 140451840. Its totient is φ = 9676800.

The previous prime is 40146233. The next prime is 40146241. The reversal of 40146240 is 4264104.

It is a super-2 number, since 2×401462402 = 3223441172275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565405 + ... + 565475.

Almost surely, 240146240 is an apocalyptic number.

40146240 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 40146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

40146240 is an abundant number, since it is smaller than the sum of its proper divisors (100305600).

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

40146240 is a wasteful number, since it uses less digits than its factorization.

40146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40146240 is about 6336.1060597184. The cubic root of 40146240 is about 342.4114605882.

The spelling of 40146240 in words is "forty million, one hundred forty-six thousand, two hundred forty".