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16830464 = 2127587
BaseRepresentation
bin100000000110…
…1000000000000
31011200002001112
41000031000000
513302033324
61400422452
7263025260
oct100150000
934602045
1016830464
119555a82
125777a28
133643871
1423417a0
151726c0e
hex100d000

16830464 has 52 divisors (see below), whose sum is σ = 38530464. Its totient is φ = 7200768.

The previous prime is 16830439. The next prime is 16830497. The reversal of 16830464 is 46403861.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 16830464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28379 + ... + 28965.

Almost surely, 216830464 is an apocalyptic number.

16830464 is a gapful number since it is divisible by the number (14) 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 16830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265232).

16830464 is an abundant number, since it is smaller than the sum of its proper divisors (21700000).

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

16830464 is an frugal number, since it uses more digits than its factorization.

16830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 16830464 is about 4102.4948506976. The cubic root of 16830464 is about 256.2705473113.

The spelling of 16830464 in words is "sixteen million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 587 896 1024 1174 1792 2048 2348 3584 4096 4109 4696 7168 8218 9392 14336 16436 18784 28672 32872 37568 65744 75136 131488 150272 262976 300544 525952 601088 1051904 1202176 2103808 2404352 4207616 8415232 16830464