[go: up one dir, main page]

Search a number
-
+
6162000 = 243531379
BaseRepresentation
bin10111100000011001010000
3102121001200020
4113200121100
53034141000
6340023440
7103243005
oct27403120
912531606
106162000
113529669
122091b80
131379970
14b658ac
1581aba0
hex5e0650

6162000 has 160 divisors (see below), whose sum is σ = 21665280. Its totient is φ = 1497600.

The previous prime is 6161993. The next prime is 6162001. The reversal of 6162000 is 2616.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6162001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77961 + ... + 78039.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 26162000 is an apocalyptic number.

6162000 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 6162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

6162000 is an abundant number, since it is smaller than the sum of its proper divisors (15503280).

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

6162000 is a wasteful number, since it uses less digits than its factorization.

6162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6162000 is about 2482.3376079816. The cubic root of 6162000 is about 183.3329660231.

Adding to 6162000 its reverse (2616), we get a palindrome (6164616).

The spelling of 6162000 in words is "six million, one hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 79 80 100 104 120 125 130 150 156 158 195 200 208 237 240 250 260 300 312 316 325 375 390 395 400 474 500 520 600 624 632 650 750 780 790 948 975 1000 1027 1040 1185 1200 1264 1300 1500 1560 1580 1625 1896 1950 1975 2000 2054 2370 2600 3000 3081 3120 3160 3250 3792 3900 3950 4108 4740 4875 5135 5200 5925 6000 6162 6320 6500 7800 7900 8216 9480 9750 9875 10270 11850 12324 13000 15405 15600 15800 16432 18960 19500 19750 20540 23700 24648 25675 26000 29625 30810 31600 39000 39500 41080 47400 49296 51350 59250 61620 77025 78000 79000 82160 94800 102700 118500 123240 128375 154050 158000 205400 237000 246480 256750 308100 385125 410800 474000 513500 616200 770250 1027000 1232400 1540500 2054000 3081000 6162000