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5715000 = 233254127
BaseRepresentation
bin10101110011010000111000
3101202100111200
4111303100320
52430340000
6322254200
766401544
oct25632070
911670450
105715000
113253845
121ab7360
131251375
14a8aa24
1577d500
hex573438

5715000 has 120 divisors (see below), whose sum is σ = 19493760. Its totient is φ = 1512000.

The previous prime is 5714987. The next prime is 5715011. The reversal of 5715000 is 5175.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57150002 = 65322450000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44937 + ... + 45063.

It is an arithmetic number, because the mean of its divisors is an integer number (162448).

Almost surely, 25715000 is an apocalyptic number.

5715000 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 5715000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746880).

5715000 is an abundant number, since it is smaller than the sum of its proper divisors (13778760).

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

5715000 is a wasteful number, since it uses less digits than its factorization.

5715000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 5715000 is about 2390.6066175764. The cubic root of 5715000 is about 178.7881559051.

Adding to 5715000 its product of nonzero digits (175), we get a palindrome (5715175).

The spelling of 5715000 in words is "five million, seven hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 127 150 180 200 225 250 254 300 360 375 381 450 500 508 600 625 635 750 762 900 1000 1016 1125 1143 1250 1270 1500 1524 1800 1875 1905 2250 2286 2500 2540 3000 3048 3175 3750 3810 4500 4572 5000 5080 5625 5715 6350 7500 7620 9000 9144 9525 11250 11430 12700 15000 15240 15875 19050 22500 22860 25400 28575 31750 38100 45000 45720 47625 57150 63500 76200 79375 95250 114300 127000 142875 158750 190500 228600 238125 285750 317500 381000 476250 571500 635000 714375 952500 1143000 1428750 1905000 2857500 5715000