Search a number
-
+
20241034000 = 2453111914817
BaseRepresentation
bin10010110110011101…
…011010101100010000
31221020122002001201221
4102312131122230100
5312423201042000
613144255334424
71314406643635
oct226635325420
957218061657
1020241034000
118647599480
123b0a821414
131ba75cb2c5
14da030a18c
157d6ecd61a
hex4b675ab10

20241034000 has 160 divisors (see below), whose sum is σ = 53682849792. Its totient is φ = 7320320000.

The previous prime is 20241033991. The next prime is 20241034031. The reversal of 20241034000 is 43014202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4199592 + ... + 4204408.

Almost surely, 220241034000 is an apocalyptic number.

20241034000 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 20241034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841424896).

20241034000 is an abundant number, since it is smaller than the sum of its proper divisors (33441815792).

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

20241034000 is a wasteful number, since it uses less digits than its factorization.

20241034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20241034000 its reverse (43014202), we get a palindrome (20284048202).

The spelling of 20241034000 in words is "twenty billion, two hundred forty-one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 191 200 220 250 275 382 400 440 500 550 764 880 955 1000 1100 1375 1528 1910 2000 2101 2200 2750 3056 3820 4202 4400 4775 4817 5500 7640 8404 9550 9634 10505 11000 15280 16808 19100 19268 21010 22000 23875 24085 33616 38200 38536 42020 47750 48170 52525 52987 76400 77072 84040 95500 96340 105050 105974 120425 168080 191000 192680 210100 211948 240850 262625 264935 382000 385360 420200 423896 481700 525250 529870 602125 840400 847792 920047 963400 1050500 1059740 1204250 1324675 1840094 1926800 2101000 2119480 2408500 2649350 3680188 4202000 4238960 4600235 4817000 5298700 6623375 7360376 9200470 9634000 10120517 10597400 13246750 14720752 18400940 20241034 21194800 23001175 26493500 36801880 40482068 46002350 50602585 52987000 73603760 80964136 92004700 101205170 105974000 115005875 161928272 184009400 202410340 230011750 253012925 368018800 404820680 460023500 506025850 809641360 920047000 1012051700 1265064625 1840094000 2024103400 2530129250 4048206800 5060258500 10120517000 20241034000