[go: up one dir, main page]

Search a number
-
+
20287400 = 2352743337
BaseRepresentation
bin100110101100…
…0111110101000
31102011201002012
41031120332220
520143144100
62002455052
7334303640
oct115307650
942151065
1020287400
11104a7251
126964488
1342841a3
1429a1520
151bab135
hex1358fa8

20287400 has 96 divisors (see below), whose sum is σ = 55323840. Its totient is φ = 6773760.

The previous prime is 20287391. The next prime is 20287411. The reversal of 20287400 is 478202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60032 + ... + 60368.

It is an arithmetic number, because the mean of its divisors is an integer number (576290).

Almost surely, 220287400 is an apocalyptic number.

20287400 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 20287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27661920).

20287400 is an abundant number, since it is smaller than the sum of its proper divisors (35036440).

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

20287400 is a wasteful number, since it uses less digits than its factorization.

20287400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 20287400 is about 4504.1536385874. The cubic root of 20287400 is about 272.7357889597.

The spelling of 20287400 in words is "twenty million, two hundred eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 337 344 350 430 602 674 700 860 1075 1204 1348 1400 1505 1685 1720 2150 2359 2408 2696 3010 3370 4300 4718 6020 6740 7525 8425 8600 9436 11795 12040 13480 14491 15050 16850 18872 23590 28982 30100 33700 47180 57964 58975 60200 67400 72455 94360 101437 115928 117950 144910 202874 235900 289820 362275 405748 471800 507185 579640 724550 811496 1014370 1449100 2028740 2535925 2898200 4057480 5071850 10143700 20287400