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141530240 = 27519103113
BaseRepresentation
bin10000110111110…
…01010010000000
3100212022110222202
420123321102000
5242212431430
622013252332
73335662415
oct1033712200
9325273882
10141530240
1172987845
123b4940a8
1323424a07
1414b2210c
15c659d45
hex86f9480

141530240 has 128 divisors (see below), whose sum is σ = 362793600. Its totient is φ = 52641792.

The previous prime is 141530231. The next prime is 141530251. The reversal of 141530240 is 42035141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 1252424 + ... + 1252536.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2141530240 is an apocalyptic number.

141530240 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 141530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

141530240 is an abundant number, since it is smaller than the sum of its proper divisors (221263360).

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

141530240 is a wasteful number, since it uses less digits than its factorization.

141530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 141530240 is about 11896.6482674743. The cubic root of 141530240 is about 521.1344070615.

Adding to 141530240 its reverse (42035141), we get a palindrome (183565381).

The spelling of 141530240 in words is "one hundred forty-one million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 103 113 128 152 160 190 206 226 304 320 380 412 452 515 565 608 640 760 824 904 1030 1130 1216 1520 1648 1808 1957 2060 2147 2260 2432 3040 3296 3616 3914 4120 4294 4520 6080 6592 7232 7828 8240 8588 9040 9785 10735 11639 12160 13184 14464 15656 16480 17176 18080 19570 21470 23278 31312 32960 34352 36160 39140 42940 46556 58195 62624 65920 68704 72320 78280 85880 93112 116390 125248 137408 156560 171760 186224 221141 232780 250496 274816 313120 343520 372448 442282 465560 626240 687040 744896 884564 931120 1105705 1252480 1374080 1489792 1769128 1862240 2211410 3538256 3724480 4422820 7076512 7448960 8845640 14153024 17691280 28306048 35382560 70765120 141530240