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1151242890 = 2357171671931
BaseRepresentation
bin100010010011110…
…1001001010001010
32222020021012100120
41010213221022022
54324204233030
6310123044110
740346255160
oct10447511212
92866235316
101151242890
11540934906
12281670636
13154682a15
14acc7b230
156b109010
hex449e928a

1151242890 has 128 divisors (see below), whose sum is σ = 3365203968. Its totient is φ = 246051840.

The previous prime is 1151242871. The next prime is 1151242891. The reversal of 1151242890 is 982421511.

It is not an unprimeable number, because it can be changed into a prime (1151242891) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 595225 + ... + 597155.

It is an arithmetic number, because the mean of its divisors is an integer number (26290656).

Almost surely, 21151242890 is an apocalyptic number.

1151242890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151242890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682601984).

1151242890 is an abundant number, since it is smaller than the sum of its proper divisors (2213961078).

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

1151242890 is a wasteful number, since it uses less digits than its factorization.

1151242890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1151242890 is about 33929.9703801816. The cubic root of 1151242890 is about 1048.0668557907.

The spelling of 1151242890 in words is "one billion, one hundred fifty-one million, two hundred forty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 167 170 210 238 255 334 357 501 510 595 714 835 1002 1169 1190 1670 1785 1931 2338 2505 2839 3507 3570 3862 5010 5678 5793 5845 7014 8517 9655 11586 11690 13517 14195 17034 17535 19310 19873 27034 28390 28965 32827 35070 39746 40551 42585 57930 59619 65654 67585 81102 85170 98481 99365 119238 135170 164135 196962 198730 202755 229789 298095 322477 328270 405510 459578 492405 596190 644954 689367 967431 984810 1148945 1378734 1612385 1934862 2257339 2297890 3224770 3446835 4514678 4837155 5482109 6772017 6893670 9674310 10964218 11286695 13544034 16446327 22573390 27410545 32892654 33860085 38374763 54821090 67720170 76749526 82231635 115124289 164463270 191873815 230248578 383747630 575621445 1151242890