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6620880 = 243572563
BaseRepresentation
bin11001010000011011010000
3110110101010210
4121100123100
53143332010
6353524120
7110163600
oct31203320
913411123
106620880
113812402
122273640
1314aa7a6
14c44c00
158abb20
hex6506d0

6620880 has 120 divisors (see below), whose sum is σ = 23918112. Its totient is φ = 1510656.

The previous prime is 6620869. The next prime is 6620899. The reversal of 6620880 is 880266.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11479 + ... + 12041.

Almost surely, 26620880 is an apocalyptic number.

6620880 is a gapful number since it is divisible by the number (60) 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 6620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959056).

6620880 is an abundant number, since it is smaller than the sum of its proper divisors (17297232).

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

6620880 is a wasteful number, since it uses less digits than its factorization.

6620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6620880 is about 2573.1070712273. The cubic root of 6620880 is about 187.7753465626.

The spelling of 6620880 in words is "six million, six hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 563 588 735 784 840 980 1126 1176 1470 1680 1689 1960 2252 2352 2815 2940 3378 3920 3941 4504 5630 5880 6756 7882 8445 9008 11260 11760 11823 13512 15764 16890 19705 22520 23646 27024 27587 31528 33780 39410 45040 47292 55174 59115 63056 67560 78820 82761 94584 110348 118230 135120 137935 157640 165522 189168 220696 236460 275870 315280 331044 413805 441392 472920 551740 662088 827610 945840 1103480 1324176 1655220 2206960 3310440 6620880