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10755628 = 221317233
BaseRepresentation
bin101001000001…
…111000101100
3202020102221121
4221001320230
510223140003
61022310324
7160264342
oct51017054
922212847
1010755628
116086954
1237283a4
1322c77a0
1415dd992
15e26cbd
hexa41e2c

10755628 has 48 divisors (see below), whose sum is σ = 22438080. Its totient is φ = 4468992.

The previous prime is 10755623. The next prime is 10755643. The reversal of 10755628 is 82655701.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10755593 and 10755602.

It is not an unprimeable number, because it can be changed into a prime (10755623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467625 + ... + 467647.

It is an arithmetic number, because the mean of its divisors is an integer number (467460).

Almost surely, 210755628 is an apocalyptic number.

It is an amenable number.

10755628 is an abundant number, since it is smaller than the sum of its proper divisors (11682452).

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

10755628 is a wasteful number, since it uses less digits than its factorization.

10755628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 10755628 is about 3279.5774118017. The cubic root of 10755628 is about 220.7387561624.

It can be divided in two parts, 107556 and 28, that added together give a square (107584 = 3282).

The spelling of 10755628 in words is "ten million, seven hundred fifty-five thousand, six hundred twenty-eight".

Divisors: 1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 529 598 782 884 1058 1196 1564 2116 5083 6877 8993 10166 12167 13754 17986 20332 24334 27508 35972 48668 116909 158171 206839 233818 316342 413678 467636 632684 827356 2688907 5377814 10755628