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198401360 = 24510932269
BaseRepresentation
bin10111101001101…
…01110101010000
3111211022211111112
423310311311100
5401242320420
631404232452
74626245423
oct1364656520
9454284445
10198401360
11a1aa0973
125653b728
1332147771
141c4c79ba
15126408c5
hexbd35d50

198401360 has 40 divisors (see below), whose sum is σ = 461908680. Its totient is φ = 79252992.

The previous prime is 198401353. The next prime is 198401387. The reversal of 198401360 is 63104891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25321024 + 173080336 = 5032^2 + 13156^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86306 + ... + 88574.

It is an arithmetic number, because the mean of its divisors is an integer number (11547717).

Almost surely, 2198401360 is an apocalyptic number.

198401360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198401360 is an abundant number, since it is smaller than the sum of its proper divisors (263507320).

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

198401360 is a wasteful number, since it uses less digits than its factorization.

198401360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 198401360 is about 14085.5017660004. The cubic root of 198401360 is about 583.2412269994.

The spelling of 198401360 in words is "one hundred ninety-eight million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1093 2186 2269 4372 4538 5465 8744 9076 10930 11345 17488 18152 21860 22690 36304 43720 45380 87440 90760 181520 2480017 4960034 9920068 12400085 19840136 24800170 39680272 49600340 99200680 198401360