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2018664 = 233223253
BaseRepresentation
bin111101100110101101000
310210120002100
413230311220
51004044124
6111133400
723105214
oct7546550
93716070
102018664
11115971a
12814260
13558a9b
143a7944
1529d1c9
hex1ecd68

2018664 has 72 divisors (see below), whose sum is σ = 5823090. Its totient is φ = 631488.

The previous prime is 2018663. The next prime is 2018671. The reversal of 2018664 is 4668102.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 476100 = 1242^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2018663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38062 + ... + 38114.

22018664 is an apocalyptic number.

2018664 is a gapful number since it is divisible by the number (24) 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 2018664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911545).

2018664 is an abundant number, since it is smaller than the sum of its proper divisors (3804426).

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

2018664 is a wasteful number, since it uses less digits than its factorization.

2018664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2018664 is about 1420.7969594562. The cubic root of 2018664 is about 126.3828115815.

The spelling of 2018664 in words is "two million, eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 529 552 636 828 954 1058 1219 1272 1587 1656 1908 2116 2438 3174 3657 3816 4232 4761 4876 6348 7314 9522 9752 10971 12696 14628 19044 21942 28037 29256 38088 43884 56074 84111 87768 112148 168222 224296 252333 336444 504666 672888 1009332 2018664