Search a number
-
+
141868160 = 275731667
BaseRepresentation
bin10000111010010…
…11110010000000
3100212221122112022
420131023302000
5242304240120
622024421012
73341600540
oct1035136200
9325848468
10141868160
1173098715
123b617768
1323512775
1414bad320
15c6c5025
hex874bc80

141868160 has 64 divisors (see below), whose sum is σ = 387616320. Its totient is φ = 48638976.

The previous prime is 141868157. The next prime is 141868169. The reversal of 141868160 is 61868141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 141868160.

It is not an unprimeable number, because it can be changed into a prime (141868169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11354 + ... + 20313.

It is an arithmetic number, because the mean of its divisors is an integer number (6056505).

Almost surely, 2141868160 is an apocalyptic number.

141868160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141868160 is an abundant number, since it is smaller than the sum of its proper divisors (245748160).

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

141868160 is an equidigital number, since it uses as much as digits as its factorization.

141868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31693 (or 31681 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 141868160 is about 11910.8421196824. The cubic root of 141868160 is about 521.5488338534.

The spelling of 141868160 in words is "one hundred forty-one million, eight hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 31667 63334 126668 158335 221669 253336 316670 443338 506672 633340 886676 1013344 1108345 1266680 1773352 2026688 2216690 2533360 3546704 4053376 4433380 5066720 7093408 8866760 10133440 14186816 17733520 20266880 28373632 35467040 70934080 141868160