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20301920 = 255223569
BaseRepresentation
bin100110101110…
…0100001100000
31102012102222222
41031130201200
520144130140
62003050212
7334364162
oct115344140
942172888
1020301920
1110507151
126970968
13428a992
1429a6932
151bb05b5
hex135c860

20301920 has 48 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 8070144.

The previous prime is 20301913. The next prime is 20301949. The reversal of 20301920 is 2910302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35396 + ... + 35964.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 220301920 is an apocalyptic number.

20301920 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 20301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20301920 is an abundant number, since it is smaller than the sum of its proper divisors (27961120).

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

20301920 is a wasteful number, since it uses less digits than its factorization.

20301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 20301920 is about 4505.7651958352. The cubic root of 20301920 is about 272.8008404901.

The spelling of 20301920 in words is "twenty million, three hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 569 892 1115 1138 1784 2230 2276 2845 3568 4460 4552 5690 7136 8920 9104 11380 17840 18208 22760 35680 45520 91040 126887 253774 507548 634435 1015096 1268870 2030192 2537740 4060384 5075480 10150960 20301920