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40746240 = 28355131
BaseRepresentation
bin1001101101101…
…1110100000000
32211200010100000
42123123310000
540412334430
64013200000
71003223463
oct233336400
984603300
1040746240
1121000287
1211790000
138598402
1455a92da
15389ce60
hex26dbd00

40746240 has 216 divisors, whose sum is σ = 147315168. Its totient is φ = 10782720.

The previous prime is 40746239. The next prime is 40746257. The reversal of 40746240 is 4264704.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 310975 + ... + 311105.

Almost surely, 240746240 is an apocalyptic number.

40746240 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 40746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73657584).

40746240 is an abundant number, since it is smaller than the sum of its proper divisors (106568928).

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

40746240 is an equidigital number, since it uses as much as digits as its factorization.

40746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40746240 is about 6383.2781546788. The cubic root of 40746240 is about 344.1088532386.

The spelling of 40746240 in words is "forty million, seven hundred forty-six thousand, two hundred forty".