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141303660 = 223517229281
BaseRepresentation
bin10000110110000…
…01111101101100
3100211212222011220
420123001331230
5242133204120
622004343340
73334030011
oct1033017554
9324788156
10141303660
1172842593
123b3a4b50
1323375844
1414aa3708
15c612b40
hex86c1f6c

141303660 has 144 divisors (see below), whose sum is σ = 436332960. Its totient is φ = 34119680.

The previous prime is 141303653. The next prime is 141303661. The reversal of 141303660 is 66303141.

141303660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141303660.

It is not an unprimeable number, because it can be changed into a prime (141303661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502720 + ... + 503000.

It is an arithmetic number, because the mean of its divisors is an integer number (3030090).

Almost surely, 2141303660 is an apocalyptic number.

141303660 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 141303660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218166480).

141303660 is an abundant number, since it is smaller than the sum of its proper divisors (295029300).

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

141303660 is a wasteful number, since it uses less digits than its factorization.

141303660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 141303660 is about 11887.1216028103. The cubic root of 141303660 is about 520.8561586299.

The spelling of 141303660 in words is "one hundred forty-one million, three hundred three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 281 289 290 340 348 435 493 510 562 578 580 843 867 870 986 1020 1124 1156 1405 1445 1479 1686 1734 1740 1972 2465 2810 2890 2958 3372 3468 4215 4335 4777 4930 5620 5780 5916 7395 8149 8381 8430 8670 9554 9860 14331 14790 16298 16762 16860 17340 19108 23885 24447 25143 28662 29580 32596 33524 40745 41905 47770 48894 50286 57324 71655 81209 81490 83810 95540 97788 100572 122235 125715 138533 143310 162418 162980 167620 243627 244470 251430 277066 286620 324836 406045 415599 487254 488940 502860 554132 692665 812090 831198 974508 1218135 1385330 1624180 1662396 2077995 2355061 2436270 2770660 4155990 4710122 4872540 7065183 8311980 9420244 11775305 14130366 23550610 28260732 35325915 47101220 70651830 141303660