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198710148 = 223713283643
BaseRepresentation
bin10111101100000…
…01001110000100
3111211220112002010
423312001032010
5401332211043
631415014220
74632002610
oct1366011604
9454815063
10198710148
11a219196a
125666a370
1332225190
141c568340
15126a2133
hexbd81384

198710148 has 96 divisors (see below), whose sum is σ = 573561856. Its totient is φ = 52140672.

The previous prime is 198710137. The next prime is 198710167. The reversal of 198710148 is 841017891.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308715 + ... + 309357.

Almost surely, 2198710148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198710148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286780928).

198710148 is an abundant number, since it is smaller than the sum of its proper divisors (374851708).

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

198710148 is a wasteful number, since it uses less digits than its factorization.

198710148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 198710148 is about 14096.4587042278. The cubic root of 198710148 is about 583.5436519074.

The spelling of 198710148 in words is "one hundred ninety-eight million, seven hundred ten thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 283 364 546 566 643 849 1092 1132 1286 1698 1929 1981 2572 3396 3679 3858 3962 4501 5943 7358 7716 7924 8359 9002 11037 11886 13503 14716 16718 18004 22074 23772 25077 25753 27006 33436 44148 50154 51506 54012 58513 77259 100308 103012 117026 154518 175539 181969 234052 309036 351078 363938 545907 702156 727876 1091814 1273783 2183628 2365597 2547566 3821349 4731194 5095132 7096791 7642698 9462388 14193582 15285396 16559179 28387164 33118358 49677537 66236716 99355074 198710148