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20378436 = 22313130631
BaseRepresentation
bin100110110111…
…1001101000100
31102100022221220
41031233031010
520204102221
62004440340
7335133231
oct115571504
942308856
1020378436
1110559691
1269a90b0
1342b6760
1429c6788
151bc80c6
hex136f344

20378436 has 24 divisors (see below), whose sum is σ = 51207744. Its totient is φ = 6270240.

The previous prime is 20378429. The next prime is 20378441. The reversal of 20378436 is 63487302.

It is a junction number, because it is equal to n+sod(n) for n = 20378397 and 20378406.

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 7 ways as a sum of consecutive naturals, for example, 65160 + ... + 65471.

It is an arithmetic number, because the mean of its divisors is an integer number (2133656).

Almost surely, 220378436 is an apocalyptic number.

20378436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20378436 is an abundant number, since it is smaller than the sum of its proper divisors (30829308).

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

20378436 is a wasteful number, since it uses less digits than its factorization.

20378436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130651 (or 130649 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 20378436 is about 4514.2481101508. The cubic root of 20378436 is about 273.1431309452.

The spelling of 20378436 in words is "twenty million, three hundred seventy-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 130631 261262 391893 522524 783786 1567572 1698203 3396406 5094609 6792812 10189218 20378436