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5374600 = 2352711349
BaseRepresentation
bin10100100000001010001000
3101010001120021
4110200022020
52333441400
6311110224
763453250
oct24401210
911101507
105374600
113041020
121972374
13116244a
149dc960
1571271a
hex520288

5374600 has 96 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1670400.

The previous prime is 5374597. The next prime is 5374609. The reversal of 5374600 is 64735.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5374609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15226 + ... + 15574.

It is an arithmetic number, because the mean of its divisors is an integer number (162750).

Almost surely, 25374600 is an apocalyptic number.

5374600 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 5374600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

5374600 is an abundant number, since it is smaller than the sum of its proper divisors (10249400).

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

5374600 is a wasteful number, since it uses less digits than its factorization.

5374600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 5374600 is about 2318.3183560504. The cubic root of 5374600 is about 175.1655576116.

The spelling of 5374600 in words is "five million, three hundred seventy-four thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 349 350 385 440 550 616 698 700 770 1100 1396 1400 1540 1745 1925 2200 2443 2792 3080 3490 3839 3850 4886 6980 7678 7700 8725 9772 12215 13960 15356 15400 17450 19195 19544 24430 26873 30712 34900 38390 48860 53746 61075 69800 76780 95975 97720 107492 122150 134365 153560 191950 214984 244300 268730 383900 488600 537460 671825 767800 1074920 1343650 2687300 5374600