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16101664 = 251971373
BaseRepresentation
bin111101011011…
…000100100000
31010022001022221
4331123010200
513110223124
61333040424
7253601425
oct75330440
933261287
1016101664
1190a8467
125486114
133449c17
1421d1d4c
151630ce4
hexf5b120

16101664 has 48 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 7499520.

The previous prime is 16101661. The next prime is 16101691. The reversal of 16101664 is 46610161.

It is not an unprimeable number, because it can be changed into a prime (16101661) 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, 42982 + ... + 43354.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 216101664 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 16101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

16101664 is an abundant number, since it is smaller than the sum of its proper divisors (17827616).

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

16101664 is a wasteful number, since it uses less digits than its factorization.

16101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 16101664 is about 4012.6878772215. The cubic root of 16101664 is about 252.5167861271.

The spelling of 16101664 in words is "sixteen million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 373 568 608 746 1136 1349 1492 2272 2698 2984 5396 5968 7087 10792 11936 14174 21584 26483 28348 43168 52966 56696 105932 113392 211864 226784 423728 503177 847456 1006354 2012708 4025416 8050832 16101664