Search a number
-
+
20741600 = 2552112357
BaseRepresentation
bin100111100011…
…1110111100000
31110000210010102
41033013313200
520302212400
62020321532
7341205065
oct117076740
943023112
1020741600
1110787520
126b432a8
1343b2b49
142a7cc6c
151c4a9d5
hex13c7de0

20741600 has 72 divisors (see below), whose sum is σ = 55262088. Its totient is φ = 7539200.

The previous prime is 20741599. The next prime is 20741621. The reversal of 20741600 is 614702.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7622 + ... + 9978.

It is an arithmetic number, because the mean of its divisors is an integer number (767529).

Almost surely, 220741600 is an apocalyptic number.

20741600 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 20741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631044).

20741600 is an abundant number, since it is smaller than the sum of its proper divisors (34520488).

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

20741600 is a wasteful number, since it uses less digits than its factorization.

20741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20741600 is about 4554.2946764565. The cubic root of 20741600 is about 274.7561474673.

The spelling of 20741600 in words is "twenty million, seven hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 2357 4400 4714 8800 9428 11785 18856 23570 25927 37712 47140 51854 58925 75424 94280 103708 117850 129635 188560 207416 235700 259270 377120 414832 471400 518540 648175 829664 942800 1037080 1296350 1885600 2074160 2592700 4148320 5185400 10370800 20741600