Search a number
-
+
110034120 = 23357294517
BaseRepresentation
bin1101000111011…
…11110011001000
321200001022102210
412203233303020
5211132042440
614530225120
72504163120
oct643576310
9250038383
10110034120
1157125299
1230a251a0
1319a47a61
1410883c80
1599d7a80
hex68efcc8

110034120 has 128 divisors (see below), whose sum is σ = 390355200. Its totient is φ = 24278016.

The previous prime is 110034107. The next prime is 110034121. The reversal of 110034120 is 21430011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110034096 and 110034105.

It is not an unprimeable number, because it can be changed into a prime (110034121) 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, 22102 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (3049650).

Almost surely, 2110034120 is an apocalyptic number.

110034120 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 110034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195177600).

110034120 is an abundant number, since it is smaller than the sum of its proper divisors (280321080).

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

110034120 is a wasteful number, since it uses less digits than its factorization.

110034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110034120 is about 10489.7149627623. The cubic root of 110034120 is about 479.1915209624.

Adding to 110034120 its reverse (21430011), we get a palindrome (131464131).

The spelling of 110034120 in words is "one hundred ten million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4517 4872 6090 8120 9034 12180 13551 18068 22585 24360 27102 31619 36136 45170 54204 63238 67755 90340 94857 108408 126476 130993 135510 158095 180680 189714 252952 261986 271020 316190 379428 392979 474285 523972 542040 632380 654965 758856 785958 916951 948570 1047944 1264760 1309930 1571916 1833902 1897140 1964895 2619860 2750853 3143832 3667804 3794280 3929790 4584755 5239720 5501706 7335608 7859580 9169510 11003412 13754265 15719160 18339020 22006824 27508530 36678040 55017060 110034120