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10752368 = 2411199307
BaseRepresentation
bin101001000001…
…000101110000
3202020021110212
4221001011300
510223033433
61022243252
7160252004
oct51010560
922207425
1010752368
116084460
123726528
1322c6163
1415dc704
15e25d48
hexa41170

10752368 has 40 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 4847040.

The previous prime is 10752367. The next prime is 10752397. The reversal of 10752368 is 86325701.

It is a happy number.

It is a super-2 number, since 2×107523682 = 231226835214848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34871 + ... + 35177.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 210752368 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 10752368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

10752368 is an abundant number, since it is smaller than the sum of its proper divisors (12162832).

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

10752368 is a wasteful number, since it uses less digits than its factorization.

10752368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10752368 is about 3279.0803588811. The cubic root of 10752368 is about 220.7164521475.

It can be divided in two parts, 1075 and 2368, that added together give a palindrome (3443).

The spelling of 10752368 in words is "ten million, seven hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 307 398 614 796 1228 1592 2189 2456 3184 3377 4378 4912 6754 8756 13508 17512 27016 35024 54032 61093 122186 244372 488744 672023 977488 1344046 2688092 5376184 10752368