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10940820 = 2235113137
BaseRepresentation
bin101001101111…
…000110010100
3202120211222120
4221233012110
510300101240
61030255540
7161665302
oct51570624
922524876
1010940820
1161a3000
1237b75b0
132360b77
14164b272
15e61ad0
hexa6f194

10940820 has 96 divisors (see below), whose sum is σ = 33941376. Its totient is φ = 2632960.

The previous prime is 10940807. The next prime is 10940837. The reversal of 10940820 is 2804901.

10940820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79792 + ... + 79928.

It is an arithmetic number, because the mean of its divisors is an integer number (353556).

Almost surely, 210940820 is an apocalyptic number.

10940820 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 10940820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970688).

10940820 is an abundant number, since it is smaller than the sum of its proper divisors (23000556).

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

10940820 is a wasteful number, since it uses less digits than its factorization.

10940820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10940820 is about 3307.6910375668. The cubic root of 10940820 is about 221.9984579067.

The spelling of 10940820 in words is "ten million, nine hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 137 165 220 242 274 330 363 411 484 548 605 660 685 726 822 1210 1331 1370 1452 1507 1644 1815 2055 2420 2662 2740 3014 3630 3993 4110 4521 5324 6028 6655 7260 7535 7986 8220 9042 13310 15070 15972 16577 18084 19965 22605 26620 30140 33154 39930 45210 49731 66308 79860 82885 90420 99462 165770 182347 198924 248655 331540 364694 497310 547041 729388 911735 994620 1094082 1823470 2188164 2735205 3646940 5470410 10940820