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10721280 = 21135349
BaseRepresentation
bin101000111001…
…100000000000
3202011200211110
4220321200000
510221040110
61021443320
7160062243
oct50714000
922150743
1010721280
116063069
123710540
1322b4c6b
1415d125a
15e1ba20
hexa39800

10721280 has 96 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 2850816.

The previous prime is 10721279. The next prime is 10721287. The reversal of 10721280 is 8212701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107212802 = 229891689676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721287) 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 7 ways as a sum of consecutive naturals, for example, 30546 + ... + 30894.

Almost surely, 210721280 is an apocalyptic number.

10721280 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 10721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000).

10721280 is an abundant number, since it is smaller than the sum of its proper divisors (23676720).

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

10721280 is an equidigital number, since it uses as much as digits as its factorization.

10721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10721280 is about 3274.3365740253. The cubic root of 10721280 is about 220.5035298513.

Adding to 10721280 its reverse (8212701), we get a palindrome (18933981).

The spelling of 10721280 in words is "ten million, seven hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 349 384 480 512 640 698 768 960 1024 1047 1280 1396 1536 1745 1920 2048 2094 2560 2792 3072 3490 3840 4188 5120 5235 5584 6144 6980 7680 8376 10240 10470 11168 13960 15360 16752 20940 22336 27920 30720 33504 41880 44672 55840 67008 83760 89344 111680 134016 167520 178688 223360 268032 335040 357376 446720 536064 670080 714752 893440 1072128 1340160 1786880 2144256 2680320 3573760 5360640 10721280