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40727460 = 22351136007
BaseRepresentation
bin1001101101011…
…1001110100100
32211122011120110
42123113032210
540411234320
64012533020
71003114644
oct233271644
984564513
1040727460
1120a98164
1211781170
13858c9b7
1455a2524
1538975e0
hex26d73a4

40727460 has 48 divisors (see below), whose sum is σ = 115065216. Its totient is φ = 10762752.

The previous prime is 40727447. The next prime is 40727471. The reversal of 40727460 is 6472704.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3777 + ... + 9783.

It is an arithmetic number, because the mean of its divisors is an integer number (2397192).

Almost surely, 240727460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40727460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57532608).

40727460 is an abundant number, since it is smaller than the sum of its proper divisors (74337756).

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

40727460 is a wasteful number, since it uses less digits than its factorization.

40727460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 40727460 is about 6381.8069541471. The cubic root of 40727460 is about 344.0559783610.

The spelling of 40727460 in words is "forty million, seven hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6007 6780 12014 18021 24028 30035 36042 60070 72084 90105 120140 180210 360420 678791 1357582 2036373 2715164 3393955 4072746 6787910 8145492 10181865 13575820 20363730 40727460