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110120472 = 23347112207
BaseRepresentation
bin1101001000001…
…00111000011000
321200012200220000
412210010320120
5211142323342
614532133000
72505002640
oct644047030
9250180800
10110120472
1157184160
1230a67160
1319a78157
14108a7520
159a0344c
hex6904e18

110120472 has 160 divisors (see below), whose sum is σ = 384721920. Its totient is φ = 28589760.

The previous prime is 110120471. The next prime is 110120489. The reversal of 110120472 is 274021011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48793 + ... + 50999.

It is an arithmetic number, because the mean of its divisors is an integer number (2404512).

Almost surely, 2110120472 is an apocalyptic number.

110120472 is a gapful number since it is divisible by the number (12) 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 110120472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192360960).

110120472 is an abundant number, since it is smaller than the sum of its proper divisors (274601448).

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

110120472 is a wasteful number, since it uses less digits than its factorization.

110120472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 110120472 is about 10493.8301873053. The cubic root of 110120472 is about 479.3168406557.

Adding to 110120472 its reverse (274021011), we get a palindrome (384141483).

It can be divided in two parts, 110120 and 472, that added together give a cube (110592 = 483).

The spelling of 110120472 in words is "one hundred ten million, one hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2207 2268 2376 2772 3564 4158 4414 4536 5544 6237 6621 7128 8316 8828 12474 13242 15449 16632 17656 19863 24277 24948 26484 30898 39726 46347 48554 49896 52968 59589 61796 72831 79452 92694 97108 119178 123592 139041 145662 158904 169939 178767 185388 194216 218493 238356 278082 291324 339878 357534 370776 417123 436986 476712 509817 556164 582648 655479 679756 715068 834246 873972 1019634 1112328 1251369 1310958 1359512 1430136 1529451 1668492 1747944 1966437 2039268 2502738 2621916 3058902 3336984 3932874 4078536 4588353 5005476 5243832 6117804 7865748 9176706 10010952 12235608 13765059 15731496 18353412 27530118 36706824 55060236 110120472