Search a number
-
+
127421140 = 22571197853
BaseRepresentation
bin1111001100001…
…00101011010100
322212202122221111
413212010223110
5230104434030
620351024404
73105030130
oct746045324
9285678844
10127421140
1165a20430
123680b104
1320524a32
1412ccc3c0
15b2be62a
hex7984ad4

127421140 has 96 divisors (see below), whose sum is σ = 337446144. Its totient is φ = 39260160.

The previous prime is 127421113. The next prime is 127421141. The reversal of 127421140 is 41124721.

It is a super-2 number, since 2×1274211402 = 32472293837799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127421141) 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 31 ways as a sum of consecutive naturals, for example, 148954 + ... + 149806.

It is an arithmetic number, because the mean of its divisors is an integer number (3515064).

Almost surely, 2127421140 is an apocalyptic number.

127421140 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 127421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168723072).

127421140 is an abundant number, since it is smaller than the sum of its proper divisors (210025004).

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

127421140 is a wasteful number, since it uses less digits than its factorization.

127421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 127421140 is about 11288.0972710196. The cubic root of 127421140 is about 503.2075657098.

Adding to 127421140 its reverse (41124721), we get a palindrome (168545861).

The spelling of 127421140 in words is "one hundred twenty-seven million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 97 110 140 154 194 220 308 385 388 485 679 770 853 970 1067 1358 1540 1706 1940 2134 2716 3395 3412 4265 4268 5335 5971 6790 7469 8530 9383 10670 11942 13580 14938 17060 18766 21340 23884 29855 29876 37345 37532 46915 59710 65681 74690 82741 93830 119420 131362 149380 165482 187660 262724 328405 330964 413705 579187 656810 827410 910151 1158374 1313620 1654820 1820302 2316748 2895935 3640604 4550755 5791870 6371057 9101510 11583740 12742114 18203020 25484228 31855285 63710570 127421140