Search a number
-
+
10490480 = 24571113131
BaseRepresentation
bin101000000001…
…001001110000
3201201222020022
4220001021300
510141143410
61012503012
7155111330
oct50011160
921658208
1010490480
115a15720
12361aa68
132233bb0
1415710c0
15dc3455
hexa01270

10490480 has 160 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2995200.

The previous prime is 10490471. The next prime is 10490509. The reversal of 10490480 is 8409401.

It is a super-2 number, since 2×104904802 = 220100341260800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80015 + ... + 80145.

Almost surely, 210490480 is an apocalyptic number.

10490480 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 10490480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

10490480 is an abundant number, since it is smaller than the sum of its proper divisors (22507408).

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

10490480 is a wasteful number, since it uses less digits than its factorization.

10490480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10490480 is about 3238.9010481952. The cubic root of 10490480 is about 218.9097575831.

Adding to 10490480 its reverse (8409401), we get a palindrome (18899881).

The spelling of 10490480 in words is "ten million, four hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 131 140 143 154 176 182 208 220 260 262 280 286 308 364 385 440 455 520 524 560 572 616 655 715 728 770 880 910 917 1001 1040 1048 1144 1232 1310 1430 1441 1456 1540 1703 1820 1834 2002 2096 2288 2620 2860 2882 3080 3406 3640 3668 4004 4585 5005 5240 5720 5764 6160 6812 7205 7280 7336 8008 8515 9170 10010 10087 10480 11440 11528 11921 13624 14410 14672 16016 17030 18340 18733 20020 20174 23056 23842 27248 28820 34060 36680 37466 40040 40348 47684 50435 57640 59605 68120 73360 74932 80080 80696 93665 95368 100870 115280 119210 131131 136240 149864 161392 187330 190736 201740 238420 262262 299728 374660 403480 476840 524524 655655 749320 806960 953680 1049048 1311310 1498640 2098096 2622620 5245240 10490480