Search a number
-
+
6627240 = 2332541449
BaseRepresentation
bin11001010001111110101000
3110110200212100
4121101332220
53144032430
6354013400
7110221254
oct31217650
913420770
106627240
113817164
122277260
1314b0659
14c47264
158ad960
hex651fa8

6627240 has 96 divisors (see below), whose sum is σ = 22113000. Its totient is φ = 1720320.

The previous prime is 6627217. The next prime is 6627251. The reversal of 6627240 is 427266.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 2683044 = 1986^2 + 1638^2 .

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, 14536 + ... + 14984.

Almost surely, 26627240 is an apocalyptic number.

6627240 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 6627240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056500).

6627240 is an abundant number, since it is smaller than the sum of its proper divisors (15485760).

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

6627240 is a wasteful number, since it uses less digits than its factorization.

6627240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6627240 is about 2574.3426345380. The cubic root of 6627240 is about 187.8354528229.

The spelling of 6627240 in words is "six million, six hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 449 492 615 738 820 898 984 1230 1347 1476 1640 1796 1845 2245 2460 2694 2952 3592 3690 4041 4490 4920 5388 6735 7380 8082 8980 10776 13470 14760 16164 17960 18409 20205 26940 32328 36818 40410 53880 55227 73636 80820 92045 110454 147272 161640 165681 184090 220908 276135 331362 368180 441816 552270 662724 736360 828405 1104540 1325448 1656810 2209080 3313620 6627240