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5133000 = 233532959
BaseRepresentation
bin10011100101001011001000
3100122210011010
4103211023020
52303224000
6302003520
761426005
oct23451310
910583133
105133000
112996554
1218765a0
1310a94a2
149788ac
156b5d50
hex4e52c8

5133000 has 128 divisors (see below), whose sum is σ = 16848000. Its totient is φ = 1299200.

The previous prime is 5132999. The next prime is 5133001. The reversal of 5133000 is 3315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5132999) and next prime (5133001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133001) 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, 86971 + ... + 87029.

It is an arithmetic number, because the mean of its divisors is an integer number (131625).

Almost surely, 25133000 is an apocalyptic number.

5133000 is a gapful number since it is divisible by the number (50) 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 5133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

5133000 is an abundant number, since it is smaller than the sum of its proper divisors (11715000).

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

5133000 is a wasteful number, since it uses less digits than its factorization.

5133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 5133000 is about 2265.6124999655. The cubic root of 5133000 is about 172.5005250982.

Adding to 5133000 its reverse (3315), we get a palindrome (5136315).

The spelling of 5133000 in words is "five million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 59 60 75 87 100 116 118 120 125 145 150 174 177 200 232 236 250 290 295 300 348 354 375 435 472 500 580 590 600 696 708 725 750 870 885 1000 1160 1180 1416 1450 1475 1500 1711 1740 1770 2175 2360 2900 2950 3000 3422 3480 3540 3625 4350 4425 5133 5800 5900 6844 7080 7250 7375 8555 8700 8850 10266 10875 11800 13688 14500 14750 17110 17400 17700 20532 21750 22125 25665 29000 29500 34220 35400 41064 42775 43500 44250 51330 59000 68440 85550 87000 88500 102660 128325 171100 177000 205320 213875 256650 342200 427750 513300 641625 855500 1026600 1283250 1711000 2566500 5133000