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110074020 = 223571371913
BaseRepresentation
bin1101000111110…
…01100010100100
321200010100011120
412203321202210
5211134332040
614531133540
72504420340
oct643714244
9250110146
10110074020
1157152271
1230a442b0
1319a5cc74
1410894620
1599e47d0
hex68f98a4

110074020 has 96 divisors (see below), whose sum is σ = 354993408. Its totient is φ = 24963072.

The previous prime is 110074009. The next prime is 110074033. The reversal of 110074020 is 20470011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56584 + ... + 58496.

It is an arithmetic number, because the mean of its divisors is an integer number (3697848).

Almost surely, 2110074020 is an apocalyptic number.

110074020 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 110074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177496704).

110074020 is an abundant number, since it is smaller than the sum of its proper divisors (244919388).

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

110074020 is a wasteful number, since it uses less digits than its factorization.

110074020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 110074020 is about 10491.6166533094. The cubic root of 110074020 is about 479.2494346081.

The spelling of 110074020 in words is "one hundred ten million, seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1913 1918 2055 2740 2877 3826 3836 4110 4795 5739 5754 7652 8220 9565 9590 11478 11508 13391 14385 19130 19180 22956 26782 28695 28770 38260 40173 53564 57390 57540 66955 80346 114780 133910 160692 200865 262081 267820 401730 524162 786243 803460 1048324 1310405 1572486 1834567 2620810 3144972 3669134 3931215 5241620 5503701 7338268 7862430 9172835 11007402 15724860 18345670 22014804 27518505 36691340 55037010 110074020