Search a number
-
+
1420141000 = 23533161751
BaseRepresentation
bin101010010100101…
…1010000111001000
310122222020122012211
41110221122013020
510402024003000
6352530314504
750122666525
oct12451320710
93588218184
101420141000
116696a5a53
12337728a34
131982b1125
14d687614c
1584a227ba
hex54a5a1c8

1420141000 has 128 divisors (see below), whose sum is σ = 3491205120. Its totient is φ = 540000000.

The previous prime is 1420140983. The next prime is 1420141043. The reversal of 1420141000 is 1410241.

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 31 ways as a sum of consecutive naturals, for example, 1890625 + ... + 1891375.

It is an arithmetic number, because the mean of its divisors is an integer number (27275040).

Almost surely, 21420141000 is an apocalyptic number.

1420141000 is a gapful number since it is divisible by the number (10) 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 1420141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745602560).

1420141000 is an abundant number, since it is smaller than the sum of its proper divisors (2071064120).

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

1420141000 is a wasteful number, since it uses less digits than its factorization.

1420141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1420141000 is about 37684.7581921392. The cubic root of 1420141000 is about 1124.0280658975.

Adding to 1420141000 its reverse (1410241), we get a palindrome (1421551241).

The spelling of 1420141000 in words is "one billion, four hundred twenty million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 125 155 200 244 248 250 305 310 488 500 610 620 751 775 1000 1220 1240 1502 1525 1550 1891 2440 3004 3050 3100 3755 3782 3875 6008 6100 6200 7510 7564 7625 7750 9455 12200 15020 15128 15250 15500 18775 18910 23281 30040 30500 31000 37550 37820 45811 46562 47275 61000 75100 75640 91622 93124 93875 94550 116405 150200 183244 186248 187750 189100 229055 232810 236375 366488 375500 378200 458110 465620 472750 582025 751000 916220 931240 945500 1145275 1164050 1420141 1832440 1891000 2290550 2328100 2840282 2910125 4581100 4656200 5680564 5726375 5820250 7100705 9162200 11361128 11452750 11640500 14201410 22905500 23281000 28402820 35503525 45811000 56805640 71007050 142014100 177517625 284028200 355035250 710070500 1420141000