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198942960 = 243561107127
BaseRepresentation
bin10111101101110…
…10000011110000
3111212100100102210
423312322003300
5401412133320
631424012120
74633662426
oct1366720360
9455310383
10198942960
11a2330877
1256761040
13322a7138
141c5c9116
15126eb0e0
hexbdba0f0

198942960 has 160 divisors (see below), whose sum is σ = 637673472. Its totient is φ = 51287040.

The previous prime is 198942937. The next prime is 198942979. The reversal of 198942960 is 69249891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1566417 + ... + 1566543.

Almost surely, 2198942960 is an apocalyptic number.

198942960 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 198942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318836736).

198942960 is an abundant number, since it is smaller than the sum of its proper divisors (438730512).

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

198942960 is a wasteful number, since it uses less digits than its factorization.

198942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 198942960 is about 14104.7141055748. The cubic root of 198942960 is about 583.7714593337.

The spelling of 198942960 in words is "one hundred ninety-eight million, nine hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 107 120 122 127 183 214 240 244 254 305 321 366 381 428 488 508 535 610 635 642 732 762 856 915 976 1016 1070 1220 1270 1284 1464 1524 1605 1712 1830 1905 2032 2140 2440 2540 2568 2928 3048 3210 3660 3810 4280 4880 5080 5136 6096 6420 6527 7320 7620 7747 8560 10160 12840 13054 13589 14640 15240 15494 19581 23241 25680 26108 27178 30480 30988 32635 38735 39162 40767 46482 52216 54356 61976 65270 67945 77470 78324 81534 92964 97905 104432 108712 116205 123952 130540 135890 154940 156648 163068 185928 195810 203835 217424 232410 261080 271780 309880 313296 326136 371856 391620 407670 464820 522160 543560 619760 652272 783240 815340 828929 929640 1087120 1566480 1630680 1657858 1859280 2486787 3261360 3315716 4144645 4973574 6631432 8289290 9947148 12433935 13262864 16578580 19894296 24867870 33157160 39788592 49735740 66314320 99471480 198942960