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20402640 = 2432543659
BaseRepresentation
bin100110111010…
…1000111010000
31102101120011100
41031311013100
520210341030
62005144400
7335263626
oct115650720
942346140
1020402640
1110575895
1269bb100
1342c478b
1429d1516
151bd0360
hex13751d0

20402640 has 120 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 5306112.

The previous prime is 20402623. The next prime is 20402647. The reversal of 20402640 is 4620402.

20402640 is a `hidden beast` number, since 20 + 4 + 0 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30631 + ... + 31289.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 220402640 is an apocalyptic number.

20402640 is a gapful number since it is divisible by the number (20) 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 20402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

20402640 is an abundant number, since it is smaller than the sum of its proper divisors (49816080).

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

20402640 is a wasteful number, since it uses less digits than its factorization.

20402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20402640 is about 4516.9281597121. The cubic root of 20402640 is about 273.2512279005.

The spelling of 20402640 in words is "twenty million, four hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 659 688 720 774 860 1032 1290 1318 1548 1720 1935 1977 2064 2580 2636 3096 3295 3440 3870 3954 5160 5272 5931 6192 6590 7740 7908 9885 10320 10544 11862 13180 15480 15816 19770 23724 26360 28337 29655 30960 31632 39540 47448 52720 56674 59310 79080 85011 94896 113348 118620 141685 158160 170022 226696 237240 255033 283370 340044 425055 453392 474480 510066 566740 680088 850110 1020132 1133480 1275165 1360176 1700220 2040264 2266960 2550330 3400440 4080528 5100660 6800880 10201320 20402640