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405716124 = 223116150387
BaseRepresentation
bin11000001011101…
…011110010011100
31001021102111220010
4120023223302130
51312330403444
6104131523220
713024346562
oct3013536234
91037374803
10405716124
1119901a590
12b3a59510
1366093318
143bc51a32
15259422b9
hex182ebc9c

405716124 has 48 divisors (see below), whose sum is σ = 1049682816. Its totient is φ = 120926400.

The previous prime is 405716117. The next prime is 405716131. The reversal of 405716124 is 421617504.

It is an interprime number because it is at equal distance from previous prime (405716117) and next prime (405716131).

It is a junction number, because it is equal to n+sod(n) for n = 405716091 and 405716100.

It is a congruent number.

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, 17142 + ... + 33245.

It is an arithmetic number, because the mean of its divisors is an integer number (21868392).

Almost surely, 2405716124 is an apocalyptic number.

405716124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405716124 is an abundant number, since it is smaller than the sum of its proper divisors (643966692).

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

405716124 is a wasteful number, since it uses less digits than its factorization.

405716124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50466 (or 50464 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 405716124 is about 20142.3961831754. The cubic root of 405716124 is about 740.2994429720.

The spelling of 405716124 in words is "four hundred five million, seven hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 50387 100774 151161 201548 302322 554257 604644 1108514 1662771 2217028 3073607 3325542 6147214 6651084 9220821 12294428 18441642 33809677 36883284 67619354 101429031 135238708 202858062 405716124