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141006960 = 2433597673
BaseRepresentation
bin10000110011110…
…01100001110000
3100211022220012000
420121321201300
5242044210320
621554134000
73331353003
oct1031714160
9324286160
10141006960
117265a686
123b281300
13232a0793
1414a2753a
15c5a4c90
hex8679870

141006960 has 160 divisors (see below), whose sum is σ = 491426880. Its totient is φ = 37158912.

The previous prime is 141006953. The next prime is 141006967. The reversal of 141006960 is 69600141.

It is an interprime number because it is at equal distance from previous prime (141006953) and next prime (141006967).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141006967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209184 + ... + 209856.

It is an arithmetic number, because the mean of its divisors is an integer number (3071418).

Almost surely, 2141006960 is an apocalyptic number.

141006960 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 141006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245713440).

141006960 is an abundant number, since it is smaller than the sum of its proper divisors (350419920).

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

141006960 is a wasteful number, since it uses less digits than its factorization.

141006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 141006960 is about 11874.6351522899. The cubic root of 141006960 is about 520.4913501706.

The spelling of 141006960 in words is "one hundred forty-one million, six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 97 108 120 135 144 180 194 216 240 270 291 360 388 432 485 540 582 673 720 776 873 970 1080 1164 1346 1455 1552 1746 1940 2019 2160 2328 2619 2692 2910 3365 3492 3880 4038 4365 4656 5238 5384 5820 6057 6730 6984 7760 8076 8730 10095 10476 10768 11640 12114 13095 13460 13968 16152 17460 18171 20190 20952 23280 24228 26190 26920 30285 32304 34920 36342 40380 41904 48456 52380 53840 60570 65281 69840 72684 80760 90855 96912 104760 121140 130562 145368 161520 181710 195843 209520 242280 261124 290736 326405 363420 391686 484560 522248 587529 652810 726840 783372 979215 1044496 1175058 1305620 1453680 1566744 1762587 1958430 2350116 2611240 2937645 3133488 3525174 3916860 4700232 5222480 5875290 7050348 7833720 8812935 9400464 11750580 14100696 15667440 17625870 23501160 28201392 35251740 47002320 70503480 141006960