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198142160 = 24516714831
BaseRepresentation
bin10111100111101…
…10100011010000
3111210211122221112
423303312203100
5401211022120
631354512452
74624115636
oct1363664320
9453748845
10198142160
11a1934157
1256435728
13320867a8
141c45b356
15125ddbc5
hexbcf68d0

198142160 has 40 divisors (see below), whose sum is σ = 463470336. Its totient is φ = 78776960.

The previous prime is 198142159. The next prime is 198142169. The reversal of 198142160 is 61241891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1981421603 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198142169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5945 + ... + 20775.

Almost surely, 2198142160 is an apocalyptic number.

198142160 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 198142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231735168).

198142160 is an abundant number, since it is smaller than the sum of its proper divisors (265328176).

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

198142160 is a wasteful number, since it uses less digits than its factorization.

198142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 198142160 is about 14076.2978087280. The cubic root of 198142160 is about 582.9871259049.

The spelling of 198142160 in words is "one hundred ninety-eight million, one hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 14831 29662 59324 74155 118648 148310 237296 296620 593240 1186480 2476777 4953554 9907108 12383885 19814216 24767770 39628432 49535540 99071080 198142160