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10885140 = 22325753163
BaseRepresentation
bin101001100001…
…100000010100
3202111000121100
4221201200110
510241311030
61025150100
7161344050
oct51414024
922430540
1010885140
116165192
12378b330
132341716
141634c60
15e50360
hexa61814

10885140 has 144 divisors (see below), whose sum is σ = 38683008. Its totient is φ = 2426112.

The previous prime is 10885139. The next prime is 10885163. The reversal of 10885140 is 4158801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66699 + ... + 66861.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 210885140 is an apocalyptic number.

10885140 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 10885140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341504).

10885140 is an abundant number, since it is smaller than the sum of its proper divisors (27797868).

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

10885140 is a wasteful number, since it uses less digits than its factorization.

10885140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10885140 is about 3299.2635541890. The cubic root of 10885140 is about 221.6212191926.

It can be divided in two parts, 10885 and 140, that added together give a square (11025 = 1052).

The spelling of 10885140 in words is "ten million, eight hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 163 180 210 212 252 265 315 318 326 371 420 477 489 530 630 636 652 742 795 815 954 978 1060 1113 1141 1260 1467 1484 1590 1630 1855 1908 1956 2226 2282 2385 2445 2934 3180 3260 3339 3423 3710 4452 4564 4770 4890 5565 5705 5868 6678 6846 7335 7420 8639 9540 9780 10269 11130 11410 13356 13692 14670 16695 17115 17278 20538 22260 22820 25917 29340 33390 34230 34556 41076 43195 51345 51834 60473 66780 68460 77751 86390 102690 103668 120946 129585 155502 172780 181419 205380 241892 259170 302365 311004 362838 388755 518340 544257 604730 725676 777510 907095 1088514 1209460 1555020 1814190 2177028 2721285 3628380 5442570 10885140