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81400140 = 223751861
BaseRepresentation
bin1001101101000…
…01000101001100
312200011120000000
410312201011030
5131314301030
612024404300
72005614123
oct466410514
9180146000
1081400140
1141a48148
1223316690
1313b30783
14ab4caba
15722d860
hex4da114c

81400140 has 96 divisors (see below), whose sum is σ = 256509120. Its totient is φ = 21695040.

The previous prime is 81400093. The next prime is 81400171. The reversal of 81400140 is 4100418.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 42810 + ... + 44670.

It is an arithmetic number, because the mean of its divisors is an integer number (2671970).

Almost surely, 281400140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128254560).

81400140 is an abundant number, since it is smaller than the sum of its proper divisors (175108980).

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

81400140 is a wasteful number, since it uses less digits than its factorization.

81400140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 81400140 is about 9022.2026135529. The cubic root of 81400140 is about 433.3861723865.

Adding to 81400140 its reverse (4100418), we get a palindrome (85500558).

The spelling of 81400140 in words is "eighty-one million, four hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 1861 2187 2430 2916 3645 3722 4374 4860 5583 7290 7444 8748 9305 10935 11166 14580 16749 18610 21870 22332 27915 33498 37220 43740 50247 55830 66996 83745 100494 111660 150741 167490 200988 251235 301482 334980 452223 502470 602964 753705 904446 1004940 1356669 1507410 1808892 2261115 2713338 3014820 4070007 4522230 5426676 6783345 8140014 9044460 13566690 16280028 20350035 27133380 40700070 81400140