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198066440 = 2351113311117
BaseRepresentation
bin10111100111001…
…00000100001000
3111210200211002002
423303210010020
5401201111230
631353130132
74623352115
oct1363440410
9453624062
10198066440
11a1892280
12563b9948
133205b1a0
141c43b90c
15125c6545
hexbce4108

198066440 has 128 divisors (see below), whose sum is σ = 540933120. Its totient is φ = 64281600.

The previous prime is 198066437. The next prime is 198066461. The reversal of 198066440 is 44660891.

It is a junction number, because it is equal to n+sod(n) for n = 198066394 and 198066403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176762 + ... + 177878.

It is an arithmetic number, because the mean of its divisors is an integer number (4226040).

Almost surely, 2198066440 is an apocalyptic number.

198066440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270466560).

198066440 is an abundant number, since it is smaller than the sum of its proper divisors (342866680).

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

198066440 is a wasteful number, since it uses less digits than its factorization.

198066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 198066440 is about 14073.6079240542. The cubic root of 198066440 is about 582.9128536256.

The spelling of 198066440 in words is "one hundred ninety-eight million, sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1117 1144 1240 1364 1430 1612 1705 2015 2234 2728 2860 3224 3410 4030 4433 4468 5585 5720 6820 8060 8866 8936 11170 12287 13640 14521 16120 17732 22165 22340 24574 29042 34627 35464 44330 44680 49148 58084 61435 69254 72605 88660 98296 116168 122870 138508 145210 159731 173135 177320 245740 277016 290420 319462 346270 380897 450151 491480 580840 638924 692540 761794 798655 900302 1277848 1385080 1523588 1597310 1800604 1904485 2250755 3047176 3194620 3601208 3808970 4501510 4951661 6389240 7617940 9003020 9903322 15235880 18006040 19806644 24758305 39613288 49516610 99033220 198066440