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141610700 = 225271153347
BaseRepresentation
bin10000111000011…
…00111011001100
3100212110120100202
420130030323030
5242223020300
622015113032
73336446120
oct1034147314
9325416322
10141610700
1172a32240
123b512778
132345251a
1414b43580
15c673ad5
hex870cecc

141610700 has 144 divisors (see below), whose sum is σ = 391474944. Its totient is φ = 43180800.

The previous prime is 141610691. The next prime is 141610717. The reversal of 141610700 is 7016141.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407927 + ... + 408273.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2141610700 is an apocalyptic number.

141610700 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 141610700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195737472).

141610700 is an abundant number, since it is smaller than the sum of its proper divisors (249864244).

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

141610700 is a wasteful number, since it uses less digits than its factorization.

141610700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 141610700 is about 11900.0294117284. The cubic root of 141610700 is about 521.2331433954.

Adding to 141610700 its reverse (7016141), we get a palindrome (148626841).

The spelling of 141610700 in words is "one hundred forty-one million, six hundred ten thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 140 154 175 212 220 265 275 308 347 350 371 385 530 550 583 694 700 742 770 1060 1100 1166 1325 1388 1484 1540 1735 1855 1925 2332 2429 2650 2915 3470 3710 3817 3850 4081 4858 5300 5830 6940 7420 7634 7700 8162 8675 9275 9716 11660 12145 14575 15268 16324 17350 18391 18550 19085 20405 24290 26719 29150 34700 36782 37100 38170 40810 48580 53438 58300 60725 73564 76340 81620 91955 95425 102025 106876 121450 128737 133595 183910 190850 202301 204050 242900 257474 267190 367820 381700 404602 408100 459775 514948 534380 643685 667975 809204 919550 1011505 1287370 1335950 1416107 1839100 2023010 2574740 2671900 2832214 3218425 4046020 5057525 5664428 6436850 7080535 10115050 12873700 14161070 20230100 28322140 35402675 70805350 141610700