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141246820 = 2251113229131
BaseRepresentation
bin10000110101101…
…00000101100100
3100211210002012201
420122310011210
5242124344240
622003224244
73333402211
oct1032640544
9324702181
10141246820
1172803910
123b378084
1323355a00
1414a8ab08
15c600d9a
hex86b4164

141246820 has 144 divisors (see below), whose sum is σ = 365238720. Its totient is φ = 45427200.

The previous prime is 141246811. The next prime is 141246821. The reversal of 141246820 is 28642141.

141246820 = 14422 + 14432 + ... + 15062.

It is a super-2 number, since 2×1412468202 = 39901328320224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141246821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1078155 + ... + 1078285.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 2141246820 is an apocalyptic number.

141246820 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 141246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182619360).

141246820 is an abundant number, since it is smaller than the sum of its proper divisors (223991900).

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

141246820 is a wasteful number, since it uses less digits than its factorization.

141246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 141246820 is about 11884.7305396462. The cubic root of 141246820 is about 520.7863103929.

Adding to 141246820 its reverse (28642141), we get a palindrome (169888961).

The spelling of 141246820 in words is "one hundred forty-one million, two hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 131 143 145 169 220 260 262 286 290 319 338 377 524 572 580 638 655 676 715 754 845 1276 1310 1430 1441 1508 1595 1690 1703 1859 1885 2620 2860 2882 3190 3380 3406 3718 3770 3799 4147 4901 5764 6380 6812 7205 7436 7540 7598 8294 8515 9295 9802 14410 15196 16588 17030 18590 18733 18995 19604 20735 22139 24505 28820 34060 37180 37466 37990 41470 41789 44278 49010 49387 53911 74932 75980 82940 83578 88556 93665 98020 98774 107822 110695 167156 187330 197548 208945 215644 221390 243529 246935 269555 374660 417890 442780 487058 493870 539110 543257 642031 835780 974116 987740 1078220 1086514 1217645 1284062 2173028 2435290 2568124 2716285 3210155 4870580 5432570 6420310 7062341 10865140 12840620 14124682 28249364 35311705 70623410 141246820