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20869600 = 2552191373
BaseRepresentation
bin100111110011…
…1000111100000
31110021021201011
41033213013200
520320311400
62023150304
7342250213
oct117470740
943237634
1020869600
1110864704
126ba5394
13442919b
142ab377a
151c738ba
hex13e71e0

20869600 has 72 divisors (see below), whose sum is σ = 53668440. Its totient is φ = 7902720.

The previous prime is 20869573. The next prime is 20869609. The reversal of 20869600 is 696802.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20869609) 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 11 ways as a sum of consecutive naturals, for example, 14514 + ... + 15886.

It is an arithmetic number, because the mean of its divisors is an integer number (745395).

Almost surely, 220869600 is an apocalyptic number.

20869600 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 20869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26834220).

20869600 is an abundant number, since it is smaller than the sum of its proper divisors (32798840).

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

20869600 is a wasteful number, since it uses less digits than its factorization.

20869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20869600 is about 4568.3257326946. The cubic root of 20869600 is about 275.3201780414.

The spelling of 20869600 in words is "twenty million, eight hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1373 1520 1900 2746 3040 3800 5492 6865 7600 10984 13730 15200 21968 26087 27460 34325 43936 52174 54920 68650 104348 109840 130435 137300 208696 219680 260870 274600 417392 521740 549200 652175 834784 1043480 1098400 1304350 2086960 2608700 4173920 5217400 10434800 20869600