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16530464 = 252947379
BaseRepresentation
bin111111000011…
…110000100000
31011002211112102
4333003300200
513212433324
61350145532
7260335526
oct77036040
934084472
1016530464
119370645
1256522a8
13356a152
1422a4316
1516b7dae
hexfc3c20

16530464 has 48 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 7789824.

The previous prime is 16530463. The next prime is 16530487. The reversal of 16530464 is 46403561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (16530463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43427 + ... + 43805.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 216530464 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 16530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

16530464 is an abundant number, since it is smaller than the sum of its proper divisors (17943136).

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

16530464 is a wasteful number, since it uses less digits than its factorization.

16530464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 16530464 is about 4065.7673322511. The cubic root of 16530464 is about 254.7387507661.

The spelling of 16530464 in words is "sixteen million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 379 464 752 758 928 1363 1504 1516 2726 3032 5452 6064 10904 10991 12128 17813 21808 21982 35626 43616 43964 71252 87928 142504 175856 285008 351712 516577 570016 1033154 2066308 4132616 8265232 16530464