[go: up one dir, main page]

Search a number
-
+
141266730 = 235114153197
BaseRepresentation
bin10000110101110…
…00111100101010
3100211211002112010
420122320330222
5242131013410
622003500350
73333514233
oct1032707452
9324732463
10141266730
1172817870
123b3876b6
1323361aa7
1414a9408a
15c606c20
hex86b8f2a

141266730 has 128 divisors (see below), whose sum is σ = 387991296. Its totient is φ = 32614400.

The previous prime is 141266711. The next prime is 141266737. The reversal of 141266730 is 37662141.

141266730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (141266737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716992 + ... + 717188.

It is an arithmetic number, because the mean of its divisors is an integer number (3031182).

Almost surely, 2141266730 is an apocalyptic number.

141266730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141266730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193995648).

141266730 is an abundant number, since it is smaller than the sum of its proper divisors (246724566).

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

141266730 is a wasteful number, since it uses less digits than its factorization.

141266730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 141266730 is about 11885.5681395548. The cubic root of 141266730 is about 520.8107790695.

The spelling of 141266730 in words is "one hundred forty-one million, two hundred sixty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 53 55 66 82 106 110 123 159 165 197 205 246 265 318 330 394 410 451 530 583 591 615 795 902 985 1166 1182 1230 1353 1590 1749 1970 2167 2173 2255 2706 2915 2955 3498 4334 4346 4510 5830 5910 6501 6519 6765 8077 8745 10441 10835 10865 13002 13038 13530 16154 17490 20882 21670 21730 23903 24231 31323 32505 32595 40385 47806 48462 52205 62646 65010 65190 71709 80770 88847 104410 114851 119515 121155 143418 156615 177694 229702 239030 242310 266541 313230 344553 358545 428081 444235 533082 574255 689106 717090 856162 888470 1148510 1284243 1332705 1722765 2140405 2568486 2665410 3445530 4280810 4708891 6421215 9417782 12842430 14126673 23544455 28253346 47088910 70633365 141266730