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141665940 = 223251324657
BaseRepresentation
bin10000111000110…
…10011010010100
3100212120101010200
420130122122110
5242231302230
622020220500
73340066143
oct1034323224
9325511120
10141665940
1172a6a799
123b53a730
1323471700
1414b5975a
15c685160
hex871a694

141665940 has 108 divisors (see below), whose sum is σ = 465418044. Its totient is φ = 34864128.

The previous prime is 141665929. The next prime is 141665941. The reversal of 141665940 is 49566141.

141665940 is a `hidden beast` number, since 1 + 4 + 1 + 66 + 594 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 55621764 + 86044176 = 7458^2 + 9276^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141665895 and 141665904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141665941) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28092 + ... + 32748.

Almost surely, 2141665940 is an apocalyptic number.

141665940 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 141665940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232709022).

141665940 is an abundant number, since it is smaller than the sum of its proper divisors (323752104).

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

141665940 is a wasteful number, since it uses less digits than its factorization.

141665940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 141665940 is about 11902.3501880931. The cubic root of 141665940 is about 521.3009094040.

The spelling of 141665940 in words is "one hundred forty-one million, six hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 4657 5070 6084 7605 9314 10140 13971 15210 18628 23285 27942 30420 41913 46570 55884 60541 69855 83826 93140 121082 139710 167652 181623 209565 242164 279420 302705 363246 419130 544869 605410 726492 787033 838260 908115 1089738 1210820 1574066 1816230 2179476 2361099 2724345 3148132 3632460 3935165 4722198 5448690 7083297 7870330 9444396 10897380 11805495 14166594 15740660 23610990 28333188 35416485 47221980 70832970 141665940