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20949520 = 2451311999
BaseRepresentation
bin100111111101…
…0101000010000
31110102100100011
41033322220100
520330341040
62025004304
7343032214
oct117725020
943370304
1020949520
1110909759
127023694
134456687
142ad4944
151c8c3ea
hex13faa10

20949520 has 40 divisors (see below), whose sum is σ = 49104000. Its totient is φ = 8311680.

The previous prime is 20949499. The next prime is 20949529. The reversal of 20949520 is 2594902.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20949529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9481 + ... + 11479.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 220949520 is an apocalyptic number.

20949520 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 20949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).

20949520 is an abundant number, since it is smaller than the sum of its proper divisors (28154480).

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

20949520 is a wasteful number, since it uses less digits than its factorization.

20949520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 20949520 is about 4577.0645614848. The cubic root of 20949520 is about 275.6711759954.

It can be divided in two parts, 209 and 49520, that added together give a square (49729 = 2232).

The spelling of 20949520 in words is "twenty million, nine hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 1999 2096 2620 3998 5240 7996 9995 10480 15992 19990 31984 39980 79960 159920 261869 523738 1047476 1309345 2094952 2618690 4189904 5237380 10474760 20949520