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2630664 = 233319641
BaseRepresentation
bin1010000010010000001000
311221122121000
422002100020
51133140124
6132215000
731234401
oct12022010
94848530
102630664
111537503
12a6a460
1371150a
144c69a8
1536e6c9
hex282408

2630664 has 64 divisors (see below), whose sum is σ = 7704000. Its totient is φ = 829440.

The previous prime is 2630627. The next prime is 2630681. The reversal of 2630664 is 4660362.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784 + ... + 4424.

It is an arithmetic number, because the mean of its divisors is an integer number (120375).

22630664 is an apocalyptic number.

2630664 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 2630664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852000).

2630664 is an abundant number, since it is smaller than the sum of its proper divisors (5073336).

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

2630664 is a wasteful number, since it uses less digits than its factorization.

2630664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2630664 is about 1621.9321810729. The cubic root of 2630664 is about 138.0453537129.

The spelling of 2630664 in words is "two million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 641 684 1026 1282 1368 1923 2052 2564 3846 4104 5128 5769 7692 11538 12179 15384 17307 23076 24358 34614 36537 46152 48716 69228 73074 97432 109611 138456 146148 219222 292296 328833 438444 657666 876888 1315332 2630664