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198410240 = 21557173
BaseRepresentation
bin10111101001110…
…00000000000000
3111211100021200102
423310320000000
5401243111430
631404341532
74626313340
oct1364700000
9454307612
10198410240
11a1aa7606
12565448a8
133214b812
141c4cad20
1512643345
hexbd38000

198410240 has 128 divisors (see below), whose sum is σ = 547348320. Its totient is φ = 67633152.

The previous prime is 198410221. The next prime is 198410269. The reversal of 198410240 is 42014891.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1146794 + ... + 1146966.

Almost surely, 2198410240 is an apocalyptic number.

198410240 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 198410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273674160).

198410240 is an abundant number, since it is smaller than the sum of its proper divisors (348938080).

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

198410240 is an frugal number, since it uses more digits than its factorization.

198410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 198410240 is about 14085.8169802110. The cubic root of 198410240 is about 583.2499283928.

The spelling of 198410240 in words is "one hundred ninety-eight million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 173 224 256 280 320 346 448 512 560 640 692 865 896 1024 1120 1211 1280 1384 1730 1792 2048 2240 2422 2560 2768 3460 3584 4096 4480 4844 5120 5536 6055 6920 7168 8192 8960 9688 10240 11072 12110 13840 14336 16384 17920 19376 20480 22144 24220 27680 28672 32768 35840 38752 40960 44288 48440 55360 57344 71680 77504 81920 88576 96880 110720 114688 143360 155008 163840 177152 193760 221440 229376 286720 310016 354304 387520 442880 573440 620032 708608 775040 885760 1146880 1240064 1417216 1550080 1771520 2480128 2834432 3100160 3543040 4960256 5668864 6200320 7086080 9920512 12400640 14172160 19841024 24801280 28344320 39682048 49602560 99205120 198410240