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40506240 = 273517273
BaseRepresentation
bin1001101010000…
…1001110000000
32211012221010010
42122201032000
540332144430
64004104520
71001203665
oct232411600
984187103
1040506240
1120956a35
1211695140
1385130b8
145545a6c
153851cb0
hex26a1380

40506240 has 192 divisors, whose sum is σ = 139034160. Its totient is φ = 10027008.

The previous prime is 40506239. The next prime is 40506283. The reversal of 40506240 is 4260504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554844 + ... + 554916.

Almost surely, 240506240 is an apocalyptic number.

40506240 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 40506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69517080).

40506240 is an abundant number, since it is smaller than the sum of its proper divisors (98527920).

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

40506240 is a wasteful number, since it uses less digits than its factorization.

40506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40506240 is about 6364.4512724979. The cubic root of 40506240 is about 343.4319089390.

Adding to 40506240 its reverse (4260504), we get a palindrome (44766744).

The spelling of 40506240 in words is "forty million, five hundred six thousand, two hundred forty".