Search a number
-
+
114278010 = 23571161811
BaseRepresentation
bin1101100111110…
…11111001111010
321222000220221220
412303323321322
5213223344020
615201212510
72555230020
oct663737172
9258026856
10114278010
1159563840
1232331136
131a8a2632
141126a710
15a075240
hex6cfbe7a

114278010 has 128 divisors (see below), whose sum is σ = 347977728. Its totient is φ = 23328000.

The previous prime is 114277993. The next prime is 114278011. The reversal of 114278010 is 10872411.

It is not an unprimeable number, because it can be changed into a prime (114278011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140505 + ... + 141315.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2114278010 is an apocalyptic number.

114278010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114278010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988864).

114278010 is an abundant number, since it is smaller than the sum of its proper divisors (233699718).

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

114278010 is a wasteful number, since it uses less digits than its factorization.

114278010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 114278010 is about 10690.0893354546. The cubic root of 114278010 is about 485.2745956259.

The spelling of 114278010 in words is "one hundred fourteen million, two hundred seventy-eight thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 61 66 70 77 105 110 122 154 165 183 210 231 305 330 366 385 427 462 610 671 770 811 854 915 1155 1281 1342 1622 1830 2013 2135 2310 2433 2562 3355 4026 4055 4270 4697 4866 5677 6405 6710 8110 8921 9394 10065 11354 12165 12810 14091 17031 17842 20130 23485 24330 26763 28182 28385 34062 44605 46970 49471 53526 56770 62447 70455 85155 89210 98942 124894 133815 140910 148413 170310 187341 247355 267630 296826 312235 346297 374682 494710 544181 624470 692594 742065 936705 1038891 1088362 1484130 1632543 1731485 1873410 2077782 2720905 3265086 3462970 3809267 5194455 5441810 7618534 8162715 10388910 11427801 16325430 19046335 22855602 38092670 57139005 114278010