Search a number
-
+
1242514000 = 24537136827
BaseRepresentation
bin100101000001111…
…0100001001010000
310012121000020210001
41022003310021100
510021040422000
6323143215344
742535123540
oct11203641120
93177006701
101242514000
11588404182
122a8147554
1316a55b3b0
14bb039320
157413746a
hex4a0f4250

1242514000 has 160 divisors (see below), whose sum is σ = 3698263296. Its totient is φ = 393177600.

The previous prime is 1242513997. The next prime is 1242514051. The reversal of 1242514000 is 4152421.

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 31 ways as a sum of consecutive naturals, for example, 178587 + ... + 185413.

Almost surely, 21242514000 is an apocalyptic number.

1242514000 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 1242514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849131648).

1242514000 is an abundant number, since it is smaller than the sum of its proper divisors (2455749296).

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

1242514000 is a wasteful number, since it uses less digits than its factorization.

1242514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1242514000 is about 35249.3120500245. The cubic root of 1242514000 is about 1075.0626247995.

Adding to 1242514000 its reverse (4152421), we get a palindrome (1246666421).

The spelling of 1242514000 in words is "one billion, two hundred forty-two million, five hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 6827 7000 7280 9100 11375 13000 13654 14000 18200 22750 26000 27308 34135 36400 45500 47789 54616 68270 88751 91000 95578 109232 136540 170675 177502 182000 191156 238945 273080 341350 355004 382312 443755 477890 546160 621257 682700 710008 764624 853375 887510 955780 1194725 1242514 1365400 1420016 1706750 1775020 1911560 2218775 2389450 2485028 2730800 3106285 3413500 3550040 3823120 4437550 4778900 4970056 5973625 6212570 6827000 7100080 8875100 9557800 9940112 11093875 11947250 12425140 13654000 15531425 17750200 19115600 22187750 23894500 24850280 31062850 35500400 44375500 47789000 49700560 62125700 77657125 88751000 95578000 124251400 155314250 177502000 248502800 310628500 621257000 1242514000