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20913500 = 2253151277
BaseRepresentation
bin100111111000…
…1110101011100
31110100111221002
41033301311130
520323213000
62024125432
7342522206
oct117616534
943314832
1020913500
1110894693
127006878
13444316a
142ac5776
151c818d5
hex13f1d5c

20913500 has 48 divisors (see below), whose sum is σ = 46143552. Its totient is φ = 8280000.

The previous prime is 20913493. The next prime is 20913511. The reversal of 20913500 is 531902.

20913500 = T449 + T450 + ... + T599.

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 15 ways as a sum of consecutive naturals, for example, 75362 + ... + 75638.

It is an arithmetic number, because the mean of its divisors is an integer number (961324).

Almost surely, 220913500 is an apocalyptic number.

20913500 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 20913500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23071776).

20913500 is an abundant number, since it is smaller than the sum of its proper divisors (25230052).

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

20913500 is a wasteful number, since it uses less digits than its factorization.

20913500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 20913500 is about 4573.1280323210. The cubic root of 20913500 is about 275.5130916712.

It can be divided in two parts, 209 and 13500, that multiplied together give a triangular number (2821500 = T2375).

The spelling of 20913500 in words is "twenty million, nine hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 151 250 277 302 500 554 604 755 1108 1385 1510 2770 3020 3775 5540 6925 7550 13850 15100 18875 27700 34625 37750 41827 69250 75500 83654 138500 167308 209135 418270 836540 1045675 2091350 4182700 5228375 10456750 20913500