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40715136 = 273571117
BaseRepresentation
bin1001101101010…
…0001110000000
32211121112200000
42123110032000
540410341021
64012400000
71003034010
oct233241600
984545600
1040715136
1120a89980
1211776000
1385871c7
14559bc40
153893b26
hex26d4380

40715136 has 384 divisors, whose sum is σ = 160392960. Its totient is φ = 9953280.

The previous prime is 40715089. The next prime is 40715137. The reversal of 40715136 is 63151704.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40715137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2395000 + ... + 2395016.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 240715136 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 40715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

40715136 is an abundant number, since it is smaller than the sum of its proper divisors (119677824).

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

40715136 is a wasteful number, since it uses less digits than its factorization.

40715136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40715136 is about 6380.8413238381. The cubic root of 40715136 is about 344.0212714447.

The spelling of 40715136 in words is "forty million, seven hundred fifteen thousand, one hundred thirty-six".