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40266100 = 22527234161
BaseRepresentation
bin1001100110011…
…0100101110100
32210202201201001
42121212211310
540302003400
63555013044
7666153610
oct231464564
983681631
1040266100
1120802576
121159a184
13845a9c4
1454c2340
153805a6a
hex2666974

40266100 has 144 divisors (see below), whose sum is σ = 108493056. Its totient is φ = 12672000.

The previous prime is 40266071. The next prime is 40266119. The reversal of 40266100 is 166204.

40266100 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660070 + ... + 660130.

It is an arithmetic number, because the mean of its divisors is an integer number (753424).

Almost surely, 240266100 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 40266100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246528).

40266100 is an abundant number, since it is smaller than the sum of its proper divisors (68226956).

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

40266100 is a wasteful number, since it uses less digits than its factorization.

40266100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40266100 is about 6345.5575011184. The cubic root of 40266100 is about 342.7518881604.

The spelling of 40266100 in words is "forty million, two hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 41 46 50 61 70 82 92 100 115 122 140 161 164 175 205 230 244 287 305 322 350 410 427 460 574 575 610 644 700 805 820 854 943 1025 1148 1150 1220 1403 1435 1525 1610 1708 1886 2050 2135 2300 2501 2806 2870 3050 3220 3772 4025 4100 4270 4715 5002 5612 5740 6100 6601 7015 7175 8050 8540 9430 9821 10004 10675 12505 13202 14030 14350 16100 17507 18860 19642 21350 23575 25010 26404 28060 28700 33005 35014 35075 39284 42700 47150 49105 50020 57523 62525 66010 70028 70150 87535 94300 98210 115046 125050 132020 140300 165025 175070 196420 230092 245525 250100 287615 330050 350140 402661 437675 491050 575230 660100 805322 875350 982100 1150460 1438075 1610644 1750700 2013305 2876150 4026610 5752300 8053220 10066525 20133050 40266100