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6141330 = 23251329181
BaseRepresentation
bin10111011011010110010010
3102120000022200
4113123112102
53033010310
6335344030
7103125516
oct27332622
912500280
106141330
113515088
122082016
131370430
14b5c146
158149c0
hex5db592

6141330 has 96 divisors (see below), whose sum is σ = 17886960. Its totient is φ = 1451520.

The previous prime is 6141323. The next prime is 6141337. The reversal of 6141330 is 331416.

It is an interprime number because it is at equal distance from previous prime (6141323) and next prime (6141337).

It can be written as a sum of positive squares in 8 ways, for example, as 221841 + 5919489 = 471^2 + 2433^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6141337) 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 47 ways as a sum of consecutive naturals, for example, 33840 + ... + 34020.

Almost surely, 26141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943480).

6141330 is an abundant number, since it is smaller than the sum of its proper divisors (11745630).

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

6141330 is a wasteful number, since it uses less digits than its factorization.

6141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6141330 is about 2478.1706963000. The cubic root of 6141330 is about 183.1277438270.

Adding to 6141330 its reverse (331416), we get a palindrome (6472746).

The spelling of 6141330 in words is "six million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 181 195 234 261 290 362 377 390 435 522 543 585 754 870 905 1086 1131 1170 1305 1629 1810 1885 2262 2353 2610 2715 3258 3393 3770 4706 5249 5430 5655 6786 7059 8145 10498 11310 11765 14118 15747 16290 16965 21177 23530 26245 31494 33930 35295 42354 47241 52490 68237 70590 78735 94482 105885 136474 157470 204711 211770 236205 341185 409422 472410 614133 682370 1023555 1228266 2047110 3070665 6141330