Search a number
-
+
198429980 = 22575924023
BaseRepresentation
bin10111101001111…
…00110100011100
3111211101021202112
423310330310130
5401244224410
631405013152
74626425030
oct1364746434
9454337675
10198429980
11a2010421
12565541b8
13321577b8
141c4d41c0
1512649105
hexbd3cd1c

198429980 has 48 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 66877248.

The previous prime is 198429943. The next prime is 198429983. The reversal of 198429980 is 89924891.

It is a happy number.

It is a super-4 number, since 4×1984299804 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198429983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3752 + ... + 20271.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2198429980 is an apocalyptic number.

198429980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198429980 is an abundant number, since it is smaller than the sum of its proper divisors (285893860).

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

198429980 is a wasteful number, since it uses less digits than its factorization.

198429980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24098 (or 24096 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

The square root of 198429980 is about 14086.5176676140. The cubic root of 198429980 is about 583.2692704251.

The spelling of 198429980 in words is "one hundred ninety-eight million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 24023 48046 96092 120115 168161 240230 336322 480460 672644 840805 1417357 1681610 2834714 3363220 5669428 7086785 9921499 14173570 19842998 28347140 39685996 49607495 99214990 198429980