Search a number
-
+
6132630 = 2357192953
BaseRepresentation
bin10111011001001110010110
3102112120101110
4113121032112
53032221010
6335235450
7103061250
oct27311626
912476343
106132630
113509599
122078b86
13136949a
14b58cd0
15812120
hex5d9396

6132630 has 128 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 1257984.

The previous prime is 6132593. The next prime is 6132647. The reversal of 6132630 is 362316.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6132597 and 6132606.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 115684 + ... + 115736.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 26132630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6132630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

6132630 is an abundant number, since it is smaller than the sum of its proper divisors (12529770).

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

6132630 is a wasteful number, since it uses less digits than its factorization.

6132630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 6132630 is about 2476.4147471698. The cubic root of 6132630 is about 183.0412281322.

Adding to 6132630 its reverse (362316), we get a palindrome (6494946).

The spelling of 6132630 in words is "six million, one hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 29 30 35 38 42 53 57 58 70 87 95 105 106 114 133 145 159 174 190 203 210 265 266 285 290 318 371 399 406 435 530 551 570 609 665 742 795 798 870 1007 1015 1102 1113 1218 1330 1537 1590 1653 1855 1995 2014 2030 2226 2755 3021 3045 3074 3306 3710 3857 3990 4611 5035 5510 5565 6042 6090 7049 7685 7714 8265 9222 10070 10759 11130 11571 14098 15105 15370 16530 19285 21147 21518 23055 23142 29203 30210 32277 35245 38570 42294 46110 53795 57855 58406 64554 70490 87609 105735 107590 115710 146015 161385 175218 204421 211470 292030 322770 408842 438045 613263 876090 1022105 1226526 2044210 3066315 6132630