Search a number
-
+
40228020 = 22325724561
BaseRepresentation
bin1001100101110…
…1010010110100
32210200210110200
42121131102310
540244244040
63554120500
7665634600
oct231352264
983623420
1040228020
11207869a8
1211580130
138446581
1454b2500
1537e9630
hex265d4b4

40228020 has 108 divisors (see below), whose sum is σ = 141978564. Its totient is φ = 9192960.

The previous prime is 40227983. The next prime is 40228043. The reversal of 40228020 is 2082204.

40228020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 26255376 = 3738^2 + 5124^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40227984 and 40228002.

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 35 ways as a sum of consecutive naturals, for example, 6540 + ... + 11100.

Almost surely, 240228020 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 40228020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70989282).

40228020 is an abundant number, since it is smaller than the sum of its proper divisors (101750544).

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

40228020 is a wasteful number, since it uses less digits than its factorization.

40228020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40228020 is about 6342.5562669952. The cubic root of 40228020 is about 342.6438062708.

The spelling of 40228020 in words is "forty million, two hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 4561 8820 9122 13683 18244 22805 27366 31927 41049 45610 54732 63854 68415 82098 91220 95781 127708 136830 159635 164196 191562 205245 223489 273660 287343 319270 383124 410490 446978 478905 574686 638540 670467 820980 893956 957810 1117445 1149372 1340934 1436715 1915620 2011401 2234890 2681868 2873430 3352335 4022802 4469780 5746860 6704670 8045604 10057005 13409340 20114010 40228020