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20403936 = 2532729349
BaseRepresentation
bin100110111010…
…1011011100000
31102101121221100
41031311123200
520210411221
62005154400
7335300460
oct115653340
942347840
1020403936
1110576863
1269bba00
1342c5247
1429d1ba0
151bd0926
hex13756e0

20403936 has 144 divisors (see below), whose sum is σ = 68796000. Its totient is φ = 5612544.

The previous prime is 20403931. The next prime is 20403941. The reversal of 20403936 is 63930402.

It is an interprime number because it is at equal distance from previous prime (20403931) and next prime (20403941).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20403931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58290 + ... + 58638.

It is an arithmetic number, because the mean of its divisors is an integer number (477750).

Almost surely, 220403936 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 20403936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34398000).

20403936 is an abundant number, since it is smaller than the sum of its proper divisors (48392064).

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

20403936 is a wasteful number, since it uses less digits than its factorization.

20403936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20403936 is about 4517.0716177630. The cubic root of 20403936 is about 273.2570135258.

The spelling of 20403936 in words is "twenty million, four hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 349 406 464 504 522 609 672 696 698 812 928 1008 1044 1047 1218 1392 1396 1624 1827 2016 2088 2094 2436 2443 2784 2792 3141 3248 3654 4176 4188 4872 4886 5584 6282 6496 7308 7329 8352 8376 9744 9772 10121 11168 12564 14616 14658 16752 19488 19544 20242 21987 25128 29232 29316 30363 33504 39088 40484 43974 50256 58464 58632 60726 70847 78176 80968 87948 91089 100512 117264 121452 141694 161936 175896 182178 212541 234528 242904 283388 323872 351792 364356 425082 485808 566776 637623 703584 728712 850164 971616 1133552 1275246 1457424 1700328 2267104 2550492 2914848 3400656 5100984 6801312 10201968 20403936