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6601980 = 22357111429
BaseRepresentation
bin11001001011110011111100
3110102102012210
4121023303330
53142230410
6353300420
7110054520
oct31136374
913372183
106601980
1137aa190
122264710
1314a1cc8
14c3bd80
158a6220
hex64bcfc

6601980 has 96 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 1370880.

The previous prime is 6601961. The next prime is 6601993. The reversal of 6601980 is 891066.

6601980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66019802 = 87172279840800, which contains 22 as substring.

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

6601980 is a modest number, since divided by 1980 gives 660 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3906 + ... + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 26601980 is an apocalyptic number.

6601980 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 6601980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

6601980 is an abundant number, since it is smaller than the sum of its proper divisors (16461060).

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

6601980 is a wasteful number, since it uses less digits than its factorization.

6601980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6601980 is about 2569.4318438129. The cubic root of 6601980 is about 187.5965014358.

The spelling of 6601980 in words is "six million, six hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1429 1540 2310 2858 4287 4620 5716 7145 8574 10003 14290 15719 17148 20006 21435 28580 30009 31438 40012 42870 47157 50015 60018 62876 78595 85740 94314 100030 110033 120036 150045 157190 188628 200060 220066 235785 300090 314380 330099 440132 471570 550165 600180 660198 943140 1100330 1320396 1650495 2200660 3300990 6601980