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5175840 = 253541263
BaseRepresentation
bin10011101111101000100000
3100201221220210
4103233220200
52311111330
6302534120
761664625
oct23575040
910657823
105175840
112a1575a
121897340
1310c2b37
1498a34c
156c38b0
hex4efa20

5175840 has 96 divisors (see below), whose sum is σ = 16765056. Its totient is φ = 1341440.

The previous prime is 5175839. The next prime is 5175857. The reversal of 5175840 is 485715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5175798 and 5175807.

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 15 ways as a sum of consecutive naturals, for example, 19549 + ... + 19811.

It is an arithmetic number, because the mean of its divisors is an integer number (174636).

Almost surely, 25175840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528).

5175840 is an abundant number, since it is smaller than the sum of its proper divisors (11589216).

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

5175840 is a wasteful number, since it uses less digits than its factorization.

5175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5175840 is about 2275.0472522565. The cubic root of 5175840 is about 172.9790924426.

The spelling of 5175840 in words is "five million, one hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 263 328 410 480 492 526 615 656 789 820 984 1052 1230 1312 1315 1578 1640 1968 2104 2460 2630 3156 3280 3936 3945 4208 4920 5260 6312 6560 7890 8416 9840 10520 10783 12624 15780 19680 21040 21566 25248 31560 32349 42080 43132 53915 63120 64698 86264 107830 126240 129396 161745 172528 215660 258792 323490 345056 431320 517584 646980 862640 1035168 1293960 1725280 2587920 5175840