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16214464 = 267172129
BaseRepresentation
bin111101110110…
…100111000000
31010111210001201
4331312213000
513122330324
61335310544
7254551330
oct75664700
933453051
1016214464
119175192
12551b454
133489376
1422210c0
151654444
hexf769c0

16214464 has 56 divisors (see below), whose sum is σ = 38953440. Its totient is φ = 6537216.

The previous prime is 16214461. The next prime is 16214503. The reversal of 16214464 is 46441261.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16214461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6552 + ... + 8680.

Almost surely, 216214464 is an apocalyptic number.

16214464 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 16214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476720).

16214464 is an abundant number, since it is smaller than the sum of its proper divisors (22738976).

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

16214464 is a wasteful number, since it uses less digits than its factorization.

16214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2155 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 16214464 is about 4026.7187634599. The cubic root of 16214464 is about 253.1050821903.

The spelling of 16214464 in words is "sixteen million, two hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 2129 3808 4258 7616 8516 14903 17032 29806 34064 36193 59612 68128 72386 119224 136256 144772 238448 253351 289544 476896 506702 579088 953792 1013404 1158176 2026808 2316352 4053616 8107232 16214464