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141030720 = 263455441
BaseRepresentation
bin10000110011111…
…11010101000000
3100211101002210000
420121333111000
5242100440340
621554440000
73331512165
oct1031772500
9324332700
10141030720
1172676516
123b293000
13232ab53c
1414a3206c
15c5abd30
hex867f540

141030720 has 140 divisors (see below), whose sum is σ = 501763284. Its totient is φ = 37601280.

The previous prime is 141030689. The next prime is 141030737. The reversal of 141030720 is 27030141.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 63872064 = 8784^2 + 7992^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 141030693 and 141030702.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 23200 + ... + 28640.

Almost surely, 2141030720 is an apocalyptic number.

141030720 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 141030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250881642).

141030720 is an abundant number, since it is smaller than the sum of its proper divisors (360732564).

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

141030720 is an equidigital number, since it uses as much as digits as its factorization.

141030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 141030720 is about 11875.6355619394. The cubic root of 141030720 is about 520.5205831955.

Adding to 141030720 its reverse (27030141), we get a palindrome (168060861).

The spelling of 141030720 in words is "one hundred forty-one million, thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 5441 6480 8640 10882 12960 16323 21764 25920 27205 32646 43528 48969 54410 65292 81615 87056 97938 108820 130584 146907 163230 174112 195876 217640 244845 261168 293814 326460 348224 391752 435280 440721 489690 522336 587628 652920 734535 783504 870560 881442 979380 1044672 1175256 1305840 1469070 1567008 1741120 1762884 1958760 2203605 2350512 2611680 2938140 3134016 3525768 3917520 4407210 4701024 5223360 5876280 7051536 7835040 8814420 9402048 11752560 14103072 15670080 17628840 23505120 28206144 35257680 47010240 70515360 141030720