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198940104 = 233311101829
BaseRepresentation
bin10111101101110…
…01010111001000
3111212100012112000
423312321113020
5401412040404
631423551000
74633651206
oct1366712710
9455305460
10198940104
11a2329710
125675b460
13322a5a4c
141c5c8076
15126ea339
hexbdb95c8

198940104 has 128 divisors (see below), whose sum is σ = 609552000. Its totient is φ = 59616000.

The previous prime is 198940099. The next prime is 198940109. The reversal of 198940104 is 401049891.

It is an interprime number because it is at equal distance from previous prime (198940099) and next prime (198940109).

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

It is not an unprimeable number, because it can be changed into a prime (198940109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239562 + ... + 240390.

It is an arithmetic number, because the mean of its divisors is an integer number (4762125).

Almost surely, 2198940104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198940104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304776000).

198940104 is an abundant number, since it is smaller than the sum of its proper divisors (410611896).

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

198940104 is a wasteful number, since it uses less digits than its factorization.

198940104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

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

The square root of 198940104 is about 14104.6128624645. The cubic root of 198940104 is about 583.7686658039.

Adding to 198940104 its reverse (401049891), we get a palindrome (599989995).

The spelling of 198940104 in words is "one hundred ninety-eight million, nine hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 101 108 132 198 202 216 264 297 303 396 404 594 606 792 808 829 909 1111 1188 1212 1658 1818 2222 2376 2424 2487 2727 3316 3333 3636 4444 4974 5454 6632 6666 7272 7461 8888 9119 9948 9999 10908 13332 14922 18238 19896 19998 21816 22383 26664 27357 29844 29997 36476 39996 44766 54714 59688 59994 72952 79992 82071 83729 89532 109428 119988 164142 167458 179064 218856 239976 246213 251187 328284 334916 492426 502374 656568 669832 753561 921019 984852 1004748 1507122 1842038 1969704 2009496 2260683 2763057 3014244 3684076 4521366 5526114 6028488 7368152 8289171 9042732 11052228 16578342 18085464 22104456 24867513 33156684 49735026 66313368 99470052 198940104