Search a number
-
+
10497500 = 2254131719
BaseRepresentation
bin101000000010…
…110111011100
3201202022212022
4220002313130
510141410000
61012555312
7155140646
oct50026734
921668768
1010497500
115a1aa22
123622b38
132237150
141573896
15dc5585
hexa02ddc

10497500 has 120 divisors (see below), whose sum is σ = 27553680. Its totient is φ = 3456000.

The previous prime is 10497433. The next prime is 10497503. The reversal of 10497500 is 579401.

10497500 = 53 + 63 + ... + 803.

It is a super-2 number, since 2×104975002 = 220395012500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10497500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497503) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 552491 + ... + 552509.

It is an arithmetic number, because the mean of its divisors is an integer number (229614).

Almost surely, 210497500 is an apocalyptic number.

10497500 is a gapful number since it is divisible by the number (10) 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 10497500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776840).

10497500 is an abundant number, since it is smaller than the sum of its proper divisors (17056180).

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

10497500 is a wasteful number, since it uses less digits than its factorization.

10497500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 10497500 is about 3239.9845678645. The cubic root of 10497500 is about 218.9585765707.

The spelling of 10497500 in words is "ten million, four hundred ninety-seven thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 19 20 25 26 34 38 50 52 65 68 76 85 95 100 125 130 170 190 221 247 250 260 323 325 340 380 425 442 475 494 500 625 646 650 850 884 950 988 1105 1235 1250 1292 1300 1615 1625 1700 1900 2125 2210 2375 2470 2500 3230 3250 4199 4250 4420 4750 4940 5525 6175 6460 6500 8075 8125 8398 8500 9500 10625 11050 11875 12350 16150 16250 16796 20995 21250 22100 23750 24700 27625 30875 32300 32500 40375 41990 42500 47500 55250 61750 80750 83980 104975 110500 123500 138125 154375 161500 201875 209950 276250 308750 403750 419900 524875 552500 617500 807500 1049750 2099500 2624375 5248750 10497500