Search a number
-
+
6660480 = 27353469
BaseRepresentation
bin11001011010000110000000
3110112101110110
4121122012000
53201113410
6354431320
7110420211
oct31320600
913471413
106660480
11383a132
122292540
1314c2818
14c55408
158b8720
hex65a180

6660480 has 64 divisors (see below), whose sum is σ = 21236400. Its totient is φ = 1775616.

The previous prime is 6660473. The next prime is 6660499. The reversal of 6660480 is 840666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 3654.

Almost surely, 26660480 is an apocalyptic number.

6660480 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 6660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618200).

6660480 is an abundant number, since it is smaller than the sum of its proper divisors (14575920).

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

6660480 is a wasteful number, since it uses less digits than its factorization.

6660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6660480 is about 2580.7905765482. The cubic root of 6660480 is about 188.1489689956.

It can be divided in two parts, 6660 and 480, that added together give a triangular number (7140 = T119).

The spelling of 6660480 in words is "six million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3469 6938 10407 13876 17345 20814 27752 34690 41628 52035 55504 69380 83256 104070 111008 138760 166512 208140 222016 277520 333024 416280 444032 555040 666048 832560 1110080 1332096 1665120 2220160 3330240 6660480