Search a number
-
+
6150300 = 22352131983
BaseRepresentation
bin10111011101100010011100
3102120110121220
4113131202130
53033302200
6335453340
7103163622
oct27354234
912513556
106150300
1135208a2
122087250
131374540
14b61512
158174a0
hex5dd89c

6150300 has 144 divisors (see below), whose sum is σ = 20415360. Its totient is φ = 1416960.

The previous prime is 6150299. The next prime is 6150301. The reversal of 6150300 is 30516.

It is an interprime number because it is at equal distance from previous prime (6150299) and next prime (6150301).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6150300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6150301) 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, 74059 + ... + 74141.

Almost surely, 26150300 is an apocalyptic number.

6150300 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 6150300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207680).

6150300 is an abundant number, since it is smaller than the sum of its proper divisors (14265060).

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

6150300 is a wasteful number, since it uses less digits than its factorization.

6150300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 6150300 is about 2479.9798386277. The cubic root of 6150300 is about 183.2168589838.

Adding to 6150300 its reverse (30516), we get a palindrome (6180816).

The spelling of 6150300 in words is "six million, one hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 83 95 100 114 130 150 156 166 190 195 228 247 249 260 285 300 325 332 380 390 415 475 494 498 570 650 741 780 830 950 975 988 996 1079 1140 1235 1245 1300 1425 1482 1577 1660 1900 1950 2075 2158 2470 2490 2850 2964 3154 3237 3705 3900 4150 4316 4731 4940 4980 5395 5700 6175 6225 6308 6474 7410 7885 8300 9462 10790 12350 12450 12948 14820 15770 16185 18525 18924 20501 21580 23655 24700 24900 26975 31540 32370 37050 39425 41002 47310 53950 61503 64740 74100 78850 80925 82004 94620 102505 107900 118275 123006 157700 161850 205010 236550 246012 307515 323700 410020 473100 512525 615030 1025050 1230060 1537575 2050100 3075150 6150300