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20578001120 = 25559236947
BaseRepresentation
bin10011001010100010…
…110110000011100000
31222010010010202201122
4103022202312003200
5314120432013440
613241533551412
71325641060235
oct231242660340
958103122648
1020578001120
1187aa8218a6
123ba3645568
131c2c370331
14dd2d8378c
158068907b5
hex4ca8b60e0

20578001120 has 72 divisors (see below), whose sum is σ = 49454824104. Its totient is φ = 8091469568.

The previous prime is 20578001089. The next prime is 20578001189. The reversal of 20578001120 is 2110087502.

It is a self number, because there is not a number n which added to its sum of digits gives 20578001120.

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, 538487 + ... + 575433.

It is an arithmetic number, because the mean of its divisors is an integer number (686872557).

Almost surely, 220578001120 is an apocalyptic number.

20578001120 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 20578001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24727412052).

20578001120 is an abundant number, since it is smaller than the sum of its proper divisors (28876822984).

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

20578001120 is an equidigital number, since it uses as much as digits as its factorization.

20578001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37080 (or 37013 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 20578001120 its reverse (2110087502), we get a palindrome (22688088622).

The spelling of 20578001120 in words is "twenty billion, five hundred seventy-eight million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 3481 4720 6962 9440 13924 17405 27848 34810 36947 55696 69620 73894 111392 139240 147788 184735 278480 295576 369470 556960 591152 738940 1182304 1477880 2179873 2955760 4359746 5911520 8719492 10899365 17438984 21798730 34877968 43597460 69755936 87194920 128612507 174389840 257225014 348779680 514450028 643062535 1028900056 1286125070 2057800112 2572250140 4115600224 5144500280 10289000560 20578001120