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198941040 = 24325833329
BaseRepresentation
bin10111101101110…
…01100101110000
3111212100020210200
423312321211300
5401412103130
631423555200
74633654014
oct1366714560
9455306720
10198941040
11a232a391
125675bb00
13322a62bc
141c5c8544
15126ea760
hexbdb9970

198941040 has 120 divisors (see below), whose sum is σ = 676362960. Its totient is φ = 52396032.

The previous prime is 198941033. The next prime is 198941047. The reversal of 198941040 is 40149891.

It is an interprime number because it is at equal distance from previous prime (198941033) and next prime (198941047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198940986 and 198941004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198941047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58096 + ... + 61424.

It is an arithmetic number, because the mean of its divisors is an integer number (5636358).

Almost surely, 2198941040 is an apocalyptic number.

198941040 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 198941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338181480).

198941040 is an abundant number, since it is smaller than the sum of its proper divisors (477421920).

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

198941040 is a wasteful number, since it uses less digits than its factorization.

198941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198941040 is about 14104.6460430597. The cubic root of 198941040 is about 583.7695813334.

The spelling of 198941040 in words is "one hundred ninety-eight million, nine hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2490 2988 3320 3329 3735 3984 4980 5976 6640 6658 7470 9960 9987 11952 13316 14940 16645 19920 19974 26632 29880 29961 33290 39948 49935 53264 59760 59922 66580 79896 99870 119844 133160 149805 159792 199740 239688 266320 276307 299610 399480 479376 552614 599220 798960 828921 1105228 1198440 1381535 1657842 2210456 2396880 2486763 2763070 3315684 4144605 4420912 4973526 5526140 6631368 8289210 9947052 11052280 12433815 13262736 16578420 19894104 22104560 24867630 33156840 39788208 49735260 66313680 99470520 198941040