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6661560 = 2335431291
BaseRepresentation
bin11001011010010110111000
3110112102221110
4121122112320
53201132220
6354440320
7110423313
oct31322670
913472843
106661560
11383aa24
1222930a0
1314c3169
14c5597a
158b8be0
hex65a5b8

6661560 has 64 divisors (see below), whose sum is σ = 20465280. Its totient is φ = 1733760.

The previous prime is 6661553. The next prime is 6661583. The reversal of 6661560 is 651666.

It is a Cunningham number, because it is equal to 25812-1.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4515 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (319770).

Almost surely, 26661560 is an apocalyptic number.

6661560 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 6661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10232640).

6661560 is an abundant number, since it is smaller than the sum of its proper divisors (13803720).

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

6661560 is a wasteful number, since it uses less digits than its factorization.

6661560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6661560 is about 2580.9998062766. Note that the first 3 decimals coincide. The cubic root of 6661560 is about 188.1591379276.

The spelling of 6661560 in words is "six million, six hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1291 1720 2580 2582 3873 5160 5164 6455 7746 10328 12910 15492 19365 25820 30984 38730 51640 55513 77460 111026 154920 166539 222052 277565 333078 444104 555130 666156 832695 1110260 1332312 1665390 2220520 3330780 6661560