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20379520 = 27574549
BaseRepresentation
bin100110110111…
…1011110000000
31102100101110001
41031233132000
520204121040
62004445344
7335136340
oct115573600
942311401
1020379520
111055a487
1269a9854
1342b70b5
1429c6d20
151bc859a
hex136f780

20379520 has 64 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 6985728.

The previous prime is 20379503. The next prime is 20379521. The reversal of 20379520 is 2597302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20379521) 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 7 ways as a sum of consecutive naturals, for example, 2206 + ... + 6754.

Almost surely, 220379520 is an apocalyptic number.

20379520 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 20379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

20379520 is an abundant number, since it is smaller than the sum of its proper divisors (35312480).

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

20379520 is an equidigital number, since it uses as much as digits as its factorization.

20379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 20379520 is about 4514.3681728455. The cubic root of 20379520 is about 273.1479740042.

The spelling of 20379520 in words is "twenty million, three hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4549 9098 18196 22745 31843 36392 45490 63686 72784 90980 127372 145568 159215 181960 254744 291136 318430 363920 509488 582272 636860 727840 1018976 1273720 1455680 2037952 2547440 2911360 4075904 5094880 10189760 20379520