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16642064 = 2423411103
BaseRepresentation
bin111111011111…
…000000010000
31011022111121202
4333133000100
513230021224
61352410332
7261312065
oct77370020
934274552
1016642064
11943747a
1256a69a8
1335a8b9a
1422d2c6c
1516daeae
hexfdf010

16642064 has 40 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 7758080.

The previous prime is 16642039. The next prime is 16642069. The reversal of 16642064 is 46024661.

16642064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16642069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14537 + ... + 15639.

Almost surely, 216642064 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 16642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

16642064 is an abundant number, since it is smaller than the sum of its proper divisors (17855728).

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

16642064 is a wasteful number, since it uses less digits than its factorization.

16642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 16642064 is about 4079.4685928439. The cubic root of 16642064 is about 255.3107271982.

The spelling of 16642064 in words is "sixteen million, six hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1103 1886 2206 3772 4412 7544 8824 15088 17648 25369 45223 50738 90446 101476 180892 202952 361784 405904 723568 1040129 2080258 4160516 8321032 16642064