Search a number
-
+
110064120 = 233517163331
BaseRepresentation
bin1101000111101…
…11000111111000
321200002211120220
412203313013320
5211134022440
614531020040
72504346435
oct643670770
9250084526
10110064120
1157145891
1230a3a620
1319a585ca
1410890b8c
1599e18d0
hex68f71f8

110064120 has 128 divisors (see below), whose sum is σ = 352823040. Its totient is φ = 27371520.

The previous prime is 110064113. The next prime is 110064121. The reversal of 110064120 is 21460011.

It is a super-2 number, since 2×1100641202 = 24228221022748800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110064120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110064121) 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, 332355 + ... + 332685.

It is an arithmetic number, because the mean of its divisors is an integer number (2756430).

Almost surely, 2110064120 is an apocalyptic number.

110064120 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 110064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176411520).

110064120 is an abundant number, since it is smaller than the sum of its proper divisors (242758920).

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

110064120 is a wasteful number, since it uses less digits than its factorization.

110064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 110064120 is about 10491.1448374331. The cubic root of 110064120 is about 479.2350663625.

The spelling of 110064120 in words is "one hundred ten million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 163 170 204 255 326 331 340 408 489 510 652 662 680 815 978 993 1020 1304 1324 1630 1655 1956 1986 2040 2445 2648 2771 3260 3310 3912 3972 4890 4965 5542 5627 6520 6620 7944 8313 9780 9930 11084 11254 13240 13855 16626 16881 19560 19860 22168 22508 27710 28135 33252 33762 39720 41565 45016 53953 55420 56270 66504 67524 83130 84405 107906 110840 112540 135048 161859 166260 168810 215812 225080 269765 323718 332520 337620 431624 539530 647436 675240 809295 917201 1079060 1294872 1618590 1834402 2158120 2751603 3237180 3668804 4586005 5503206 6474360 7337608 9172010 11006412 13758015 18344020 22012824 27516030 36688040 55032060 110064120