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40740084 = 22347112371
BaseRepresentation
bin1001101101101…
…0010011110100
32211122210220000
42123122103310
540412140314
64013111300
71003166520
oct233322364
984583800
1040740084
1120aa66a0
1211788530
138595678
1455a6d80
15389b209
hex26da4f4

40740084 has 240 divisors, whose sum is σ = 140507136. Its totient is φ = 9979200.

The previous prime is 40740043. The next prime is 40740113. The reversal of 40740084 is 48004704.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 573769 + ... + 573839.

Almost surely, 240740084 is an apocalyptic number.

40740084 is a gapful number since it is divisible by the number (44) 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 40740084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568).

40740084 is an abundant number, since it is smaller than the sum of its proper divisors (99767052).

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

40740084 is a wasteful number, since it uses less digits than its factorization.

40740084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40740084 is about 6382.7959390850. The cubic root of 40740084 is about 344.0915228805.

Adding to 40740084 its reverse (48004704), we get a palindrome (88744788).

The spelling of 40740084 in words is "forty million, seven hundred forty thousand, eighty-four".