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20147280 = 2435127661
BaseRepresentation
bin100110011011…
…0110001010000
31101220120212120
41030312301100
520124203110
61555454240
7333151266
oct114666120
941816776
1020147280
1110410a4a
1268b7380
13423548a
142966436
151b7e870
hex1336c50

20147280 has 80 divisors (see below), whose sum is σ = 63043584. Its totient is φ = 5322240.

The previous prime is 20147273. The next prime is 20147297. The reversal of 20147280 is 8274102.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20147280.

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, 30150 + ... + 30810.

Almost surely, 220147280 is an apocalyptic number.

20147280 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 20147280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31521792).

20147280 is an abundant number, since it is smaller than the sum of its proper divisors (42896304).

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

20147280 is a wasteful number, since it uses less digits than its factorization.

20147280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20147280 is about 4488.5721560425. The cubic root of 20147280 is about 272.1064318202.

The spelling of 20147280 in words is "twenty million, one hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 661 762 1016 1270 1322 1524 1905 1983 2032 2540 2644 3048 3305 3810 3966 5080 5288 6096 6610 7620 7932 9915 10160 10576 13220 15240 15864 19830 26440 30480 31728 39660 52880 79320 83947 158640 167894 251841 335788 419735 503682 671576 839470 1007364 1259205 1343152 1678940 2014728 2518410 3357880 4029456 5036820 6715760 10073640 20147280