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10553928 = 2337115711
BaseRepresentation
bin101000010000…
…101001001000
3201212012021020
4220100221020
510200211203
61014112440
7155464320
oct50205110
921765236
1010553928
115a59360
12364b720
132256a38
14158a280
15dd7153
hexa10a48

10553928 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2740800.

The previous prime is 10553903. The next prime is 10553947. The reversal of 10553928 is 82935501.

It is a super-2 number, since 2×105539282 = 222770792458368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 1008 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 210553928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10553928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10553928 is an abundant number, since it is smaller than the sum of its proper divisors (22347192).

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

10553928 is a wasteful number, since it uses less digits than its factorization.

10553928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 10553928 is about 3248.6809630987. The cubic root of 10553928 is about 219.3502038515.

The spelling of 10553928 in words is "ten million, five hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 5711 11422 17133 22844 34266 39977 45688 62821 68532 79954 119931 125642 137064 159908 188463 239862 251284 319816 376926 439747 479724 502568 753852 879494 959448 1319241 1507704 1758988 2638482 3517976 5276964 10553928