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20378484 = 22327193419
BaseRepresentation
bin100110110111…
…1001101110100
31102100100000200
41031233031310
520204102414
62004440500
7335133330
oct115571564
942310020
1020378484
1110559725
1269a9130
1342b6799
1429c67c0
151bc8109
hex136f374

20378484 has 72 divisors (see below), whose sum is σ = 59317440. Its totient is φ = 5778432.

The previous prime is 20378473. The next prime is 20378489. The reversal of 20378484 is 48487302.

It is a super-2 number, since 2×203784842 = 830565220276512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20378489) 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, 48427 + ... + 48845.

Almost surely, 220378484 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 20378484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29658720).

20378484 is an abundant number, since it is smaller than the sum of its proper divisors (38938956).

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

20378484 is a wasteful number, since it uses less digits than its factorization.

20378484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 20378484 is about 4514.2534266476. The cubic root of 20378484 is about 273.1433454017.

It can be divided in two parts, 203 and 78484, that added together give a palindrome (78687).

The spelling of 20378484 in words is "twenty million, three hundred seventy-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 386 419 579 772 838 1158 1257 1351 1676 1737 2316 2514 2702 2933 3474 3771 4053 5028 5404 5866 6948 7542 8106 8799 11732 12159 15084 16212 17598 24318 26397 35196 48636 52794 80867 105588 161734 242601 323468 485202 566069 727803 970404 1132138 1455606 1698207 2264276 2911212 3396414 5094621 6792828 10189242 20378484