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10852320 = 253523983
BaseRepresentation
bin101001011001…
…011111100000
3202102100120210
4221121133200
510234233240
61024334120
7161146263
oct51313740
922370523
1010852320
116142566
123774340
13232c7bb
141626cda
15e45780
hexa597e0

10852320 has 96 divisors (see below), whose sum is σ = 35707392. Its totient is φ = 2765312.

The previous prime is 10852313. The next prime is 10852321. The reversal of 10852320 is 2325801.

10852320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10852321) 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, 10549 + ... + 11531.

It is an arithmetic number, because the mean of its divisors is an integer number (371952).

Almost surely, 210852320 is an apocalyptic number.

10852320 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 10852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853696).

10852320 is an abundant number, since it is smaller than the sum of its proper divisors (24855072).

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

10852320 is a wasteful number, since it uses less digits than its factorization.

10852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10852320 is about 3294.2859620865. The cubic root of 10852320 is about 221.3982567885.

The spelling of 10852320 in words is "ten million, eight hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 983 1104 1380 1840 1966 2208 2760 2949 3680 3932 4915 5520 5898 7864 9830 11040 11796 14745 15728 19660 22609 23592 29490 31456 39320 45218 47184 58980 67827 78640 90436 94368 113045 117960 135654 157280 180872 226090 235920 271308 339135 361744 452180 471840 542616 678270 723488 904360 1085232 1356540 1808720 2170464 2713080 3617440 5426160 10852320