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10553712 = 2431321301
BaseRepresentation
bin101000010000…
…100101110000
3201212011222020
4220100211300
510200204322
61014111440
7155463561
oct50204560
921764866
1010553712
115a59184
12364b580
132256900
14158a168
15dd705c
hexa10970

10553712 has 60 divisors (see below), whose sum is σ = 29544984. Its totient is φ = 3244800.

The previous prime is 10553701. The next prime is 10553713. The reversal of 10553712 is 21735501.

It is a super-2 number, since 2×105537122 = 222761673957888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7462 + ... + 8762.

Almost surely, 210553712 is an apocalyptic number.

10553712 is a gapful number since it is divisible by the number (12) 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 10553712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772492).

10553712 is an abundant number, since it is smaller than the sum of its proper divisors (18991272).

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

10553712 is a wasteful number, since it uses less digits than its factorization.

10553712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 10553712 is about 3248.6477186670. The cubic root of 10553712 is about 219.3487074113.

The spelling of 10553712 in words is "ten million, five hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1301 1352 2028 2602 2704 3903 4056 5204 7806 8112 10408 15612 16913 20816 31224 33826 50739 62448 67652 101478 135304 202956 219869 270608 405912 439738 659607 811824 879476 1319214 1758952 2638428 3517904 5276856 10553712