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6241380 = 22351729211
BaseRepresentation
bin10111110011110001100100
3102202002120020
4113303301210
53044211010
6341435140
7104023305
oct27636144
912662506
106241380
113583272
12210bab0
1313a6b32
14b867ac
15834470
hex5f3c64

6241380 has 96 divisors (see below), whose sum is σ = 19232640. Its totient is φ = 1505280.

The previous prime is 6241343. The next prime is 6241387. The reversal of 6241380 is 831426.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6241380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6241387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29475 + ... + 29685.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 26241380 is an apocalyptic number.

6241380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6241380 is the 2040-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6241380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616320).

6241380 is an abundant number, since it is smaller than the sum of its proper divisors (12991260).

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

6241380 is a wasteful number, since it uses less digits than its factorization.

6241380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6241380 is about 2498.2754051545. The cubic root of 6241380 is about 184.1168523662.

The spelling of 6241380 in words is "six million, two hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 211 255 290 340 348 422 435 493 510 580 633 844 870 986 1020 1055 1266 1479 1740 1972 2110 2465 2532 2958 3165 3587 4220 4930 5916 6119 6330 7174 7395 9860 10761 12238 12660 14348 14790 17935 18357 21522 24476 29580 30595 35870 36714 43044 53805 61190 71740 73428 91785 104023 107610 122380 183570 208046 215220 312069 367140 416092 520115 624138 1040230 1248276 1560345 2080460 3120690 6241380