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10489440 = 253513412
BaseRepresentation
bin101000000000…
…111001100000
3201201220210210
4220000321200
510141130230
61012454120
7155105313
oct50007140
921656723
1010489440
115a14965
12361a340
132233590
14157097a
15dc2eb0
hexa00e60

10489440 has 144 divisors (see below), whose sum is σ = 36472464. Its totient is φ = 2519040.

The previous prime is 10489421. The next prime is 10489441. The reversal of 10489440 is 4498401.

It is a super-2 number, since 2×104894402 = 220056703027200, which contains 22 as substring.

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 = 10489398 and 10489407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 255820 + ... + 255860.

It is an arithmetic number, because the mean of its divisors is an integer number (253281).

Almost surely, 210489440 is an apocalyptic number.

10489440 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 10489440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236232).

10489440 is an abundant number, since it is smaller than the sum of its proper divisors (25983024).

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

10489440 is a wasteful number, since it uses less digits than its factorization.

10489440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10489440 is about 3238.7404959336. The cubic root of 10489440 is about 218.9025232884.

The spelling of 10489440 in words is "ten million, four hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 41 48 52 60 65 78 80 82 96 104 120 123 130 156 160 164 195 205 208 240 246 260 312 328 390 410 416 480 492 520 533 615 624 656 780 820 984 1040 1066 1230 1248 1312 1560 1599 1640 1681 1968 2080 2132 2460 2665 3120 3198 3280 3362 3936 4264 4920 5043 5330 6240 6396 6560 6724 7995 8405 8528 9840 10086 10660 12792 13448 15990 16810 17056 19680 20172 21320 21853 25215 25584 26896 31980 33620 40344 42640 43706 50430 51168 53792 63960 65559 67240 80688 85280 87412 100860 109265 127920 131118 134480 161376 174824 201720 218530 255840 262236 268960 327795 349648 403440 437060 524472 655590 699296 806880 874120 1048944 1311180 1748240 2097888 2622360 3496480 5244720 10489440