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198367380 = 22345122449
BaseRepresentation
bin10111101001011…
…01100010010100
3111211021002220000
423310231202110
5401240224010
631403411300
74626044361
oct1364554224
9454232800
10198367380
11a1a78392
1256523b30
1332135163
141c4b9468
15126357c0
hexbd2d894

198367380 has 60 divisors (see below), whose sum is σ = 622290900. Its totient is φ = 52897536.

The previous prime is 198367361. The next prime is 198367409. The reversal of 198367380 is 83763891.

It is a happy number.

198367380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31337604 + 167029776 = 5598^2 + 12924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59605 + ... + 62844.

It is an arithmetic number, because the mean of its divisors is an integer number (10371515).

Almost surely, 2198367380 is an apocalyptic number.

198367380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198367380 is an abundant number, since it is smaller than the sum of its proper divisors (423923520).

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

198367380 is a wasteful number, since it uses less digits than its factorization.

198367380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122470 (or 122459 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 198367380 is about 14084.2955095383. The cubic root of 198367380 is about 583.2079280536.

The spelling of 198367380 in words is "one hundred ninety-eight million, three hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 122449 244898 367347 489796 612245 734694 1102041 1224490 1469388 1836735 2204082 2448980 3306123 3673470 4408164 5510205 6612246 7346940 9918369 11020410 13224492 16530615 19836738 22040820 33061230 39673476 49591845 66122460 99183690 198367380