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5318100 = 22325219311
BaseRepresentation
bin10100010010010111010100
3101000012001200
4110102113110
52330134400
6305552500
763126444
oct24222724
911005050
105318100
113002627
121945730
131142808
149c6124
15700b00
hex5125d4

5318100 has 108 divisors (see below), whose sum is σ = 17603040. Its totient is φ = 1339200.

The previous prime is 5318099. The next prime is 5318141. The reversal of 5318100 is 18135.

It is a happy number.

It is a super-2 number, since 2×53181002 = 56564375220000, 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16945 + ... + 17255.

Almost surely, 25318100 is an apocalyptic number.

5318100 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 5318100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801520).

5318100 is an abundant number, since it is smaller than the sum of its proper divisors (12284940).

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

5318100 is a wasteful number, since it uses less digits than its factorization.

5318100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5318100 is about 2306.1006049173. The cubic root of 5318100 is about 174.5495900417.

The spelling of 5318100 in words is "five million, three hundred eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 311 342 380 450 475 570 622 684 855 900 933 950 1140 1244 1425 1555 1710 1866 1900 2799 2850 3110 3420 3732 4275 4665 5598 5700 5909 6220 7775 8550 9330 11196 11818 13995 15550 17100 17727 18660 23325 23636 27990 29545 31100 35454 46650 53181 55980 59090 69975 70908 88635 93300 106362 118180 139950 147725 177270 212724 265905 279900 295450 354540 443175 531810 590900 886350 1063620 1329525 1772700 2659050 5318100