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117798100 = 225271719521
BaseRepresentation
bin1110000010101…
…11010011010100
322012122202121121
413001113103110
5220124014400
615404453324
72630160460
oct701272324
9265582547
10117798100
1160548502
123354a244
131b535924
14119054a0
15a51d21a
hex70574d4

117798100 has 144 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 35942400.

The previous prime is 117798089. The next prime is 117798101. The reversal of 117798100 is 1897711.

It is a super-2 number, since 2×1177981002 = 27752784727220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117798101) 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 47 ways as a sum of consecutive naturals, for example, 225840 + ... + 226360.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2117798100 is an apocalyptic number.

117798100 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 117798100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

117798100 is an abundant number, since it is smaller than the sum of its proper divisors (208431020).

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

117798100 is a wasteful number, since it uses less digits than its factorization.

117798100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 34.

The square root of 117798100 is about 10853.4833118221. The cubic root of 117798100 is about 490.2069097016.

The spelling of 117798100 in words is "one hundred seventeen million, seven hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 521 532 595 646 665 700 850 950 1042 1190 1292 1330 1615 1700 1900 2084 2261 2380 2605 2660 2975 3230 3325 3647 4522 5210 5950 6460 6650 7294 8075 8857 9044 9899 10420 11305 11900 13025 13300 14588 16150 17714 18235 19798 22610 26050 32300 35428 36470 39596 44285 45220 49495 52100 56525 61999 69293 72940 88570 91175 98990 113050 123998 138586 168283 177140 182350 197980 221425 226100 247475 247996 277172 309995 336566 346465 364700 442850 494950 619990 673132 692930 841415 885700 989900 1177981 1239980 1385860 1549975 1682830 1732325 2355962 3099950 3365660 3464650 4207075 4711924 5889905 6199900 6929300 8414150 11779810 16828300 23559620 29449525 58899050 117798100