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10716480 = 26325612
BaseRepresentation
bin101000111000…
…010101000000
3202011110020200
4220320111000
510220411410
61021405200
7160042245
oct50702500
922143220
1010716480
11605a4a5
123709800
1322b2a18
1415cd5cc
15e1a3c0
hexa38540

10716480 has 126 divisors (see below), whose sum is σ = 37474398. Its totient is φ = 2810880.

The previous prime is 10716451. The next prime is 10716481. The reversal of 10716480 is 8461701.

It is a happy number.

10716480 is a `hidden beast` number, since 10 + 7 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 9884736 = 912^2 + 3144^2 .

It is a super-2 number, since 2×107164802 = 229685887180800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175650 + ... + 175710.

Almost surely, 210716480 is an apocalyptic number.

10716480 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 10716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737199).

10716480 is an abundant number, since it is smaller than the sum of its proper divisors (26757918).

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

10716480 is an equidigital number, since it uses as much as digits as its factorization.

10716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10716480 is about 3273.6035190597. The cubic root of 10716480 is about 220.4706178938.

The spelling of 10716480 in words is "ten million, seven hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 64 72 80 90 96 120 122 144 160 180 183 192 240 244 288 305 320 360 366 480 488 549 576 610 720 732 915 960 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2880 2928 3660 3721 3904 4392 4880 5490 5856 7320 7442 8784 9760 10980 11163 11712 14640 14884 17568 18605 19520 21960 22326 29280 29768 33489 35136 37210 43920 44652 55815 58560 59536 66978 74420 87840 89304 111630 119072 133956 148840 167445 175680 178608 223260 238144 267912 297680 334890 357216 446520 535824 595360 669780 714432 893040 1071648 1190720 1339560 1786080 2143296 2679120 3572160 5358240 10716480