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198090240 = 293525793
BaseRepresentation
bin10111100111010…
…01111000000000
3111210202000201120
423303221320000
5401202341430
631353432240
74623511365
oct1363517000
9453660646
10198090240
11a18a9147
125640b680
1332068c7a
141c44646c
15125cd610
hexbce9e00

198090240 has 80 divisors (see below), whose sum is σ = 633294288. Its totient is φ = 52822016.

The previous prime is 198090187. The next prime is 198090247. The reversal of 198090240 is 42090891.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198090247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5217 + ... + 20576.

Almost surely, 2198090240 is an apocalyptic number.

198090240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198090240 is an abundant number, since it is smaller than the sum of its proper divisors (435204048).

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

198090240 is an equidigital number, since it uses as much as digits as its factorization.

198090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25819 (or 25803 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 198090240 is about 14074.4534529764. The cubic root of 198090240 is about 582.9362006235.

The spelling of 198090240 in words is "one hundred ninety-eight million, ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 25793 51586 77379 103172 128965 154758 206344 257930 309516 386895 412688 515860 619032 773790 825376 1031720 1238064 1547580 1650752 2063440 2476128 3095160 3301504 4126880 4952256 6190320 6603008 8253760 9904512 12380640 13206016 16507520 19809024 24761280 33015040 39618048 49522560 66030080 99045120 198090240