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20384880 = 2435157541
BaseRepresentation
bin100110111000…
…0110001110000
31102100122210120
41031300301300
520204304010
62004530240
7335161065
oct115606160
942318716
1020384880
111056350a
1269b0980
1342b9679
1429c8c6c
151bc9e70
hex1370c70

20384880 has 80 divisors (see below), whose sum is σ = 63713184. Its totient is φ = 5391360.

The previous prime is 20384879. The next prime is 20384899. The reversal of 20384880 is 8848302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×203848802 = 831086665228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37410 + ... + 37950.

Almost surely, 220384880 is an apocalyptic number.

20384880 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 20384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31856592).

20384880 is an abundant number, since it is smaller than the sum of its proper divisors (43328304).

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

20384880 is a wasteful number, since it uses less digits than its factorization.

20384880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20384880 is about 4514.9617938583. The cubic root of 20384880 is about 273.1719187096.

The spelling of 20384880 in words is "twenty million, three hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 541 628 785 942 1082 1256 1570 1623 1884 2164 2355 2512 2705 3140 3246 3768 4328 4710 5410 6280 6492 7536 8115 8656 9420 10820 12560 12984 16230 18840 21640 25968 32460 37680 43280 64920 84937 129840 169874 254811 339748 424685 509622 679496 849370 1019244 1274055 1358992 1698740 2038488 2548110 3397480 4076976 5096220 6794960 10192440 20384880