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198132720 = 2435825553
BaseRepresentation
bin10111100111101…
…00001111110000
3111210211011222220
423303310033300
5401210221340
631354401040
74624046262
oct1363641760
9453734886
10198132720
11a1928055
1256430180
13320823c6
141c457b32
15125daed0
hexbcf43f0

198132720 has 40 divisors (see below), whose sum is σ = 614212176. Its totient is φ = 52835328.

The previous prime is 198132719. The next prime is 198132721. The reversal of 198132720 is 27231891.

It is an interprime number because it is at equal distance from previous prime (198132719) and next prime (198132721).

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

It is a super-3 number, since 3×1981327203 (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 (198132721) 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, 412537 + ... + 413016.

Almost surely, 2198132720 is an apocalyptic number.

198132720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198132720 is an abundant number, since it is smaller than the sum of its proper divisors (416079456).

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

198132720 is a wasteful number, since it uses less digits than its factorization.

198132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825569 (or 825563 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 198132720 is about 14075.9624892936. The cubic root of 198132720 is about 582.9778674246.

The spelling of 198132720 in words is "one hundred ninety-eight million, one hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 825553 1651106 2476659 3302212 4127765 4953318 6604424 8255530 9906636 12383295 13208848 16511060 19813272 24766590 33022120 39626544 49533180 66044240 99066360 198132720