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114278040 = 233653919
BaseRepresentation
bin1101100111110…
…11111010011000
321222000221000000
412303323322120
5213223344130
615201213000
72555230062
oct663737230
9258027000
10114278040
1159563868
1232331160
131a8a2656
141126a732
15a075260
hex6cfbe98

114278040 has 112 divisors (see below), whose sum is σ = 385610400. Its totient is φ = 30466368.

The previous prime is 114278039. The next prime is 114278051. The reversal of 114278040 is 40872411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114277995 and 114278013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27201 + ... + 31119.

It is an arithmetic number, because the mean of its divisors is an integer number (3442950).

Almost surely, 2114278040 is an apocalyptic number.

114278040 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 114278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192805200).

114278040 is an abundant number, since it is smaller than the sum of its proper divisors (271332360).

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

114278040 is an equidigital number, since it uses as much as digits as its factorization.

114278040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114278040 is about 10690.0907386233. The cubic root of 114278040 is about 485.2746380903.

The spelling of 114278040 in words is "one hundred fourteen million, two hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 3919 4860 5832 7290 7838 9720 11757 14580 15676 19595 23514 29160 31352 35271 39190 47028 58785 70542 78380 94056 105813 117570 141084 156760 176355 211626 235140 282168 317439 352710 423252 470280 529065 634878 705420 846504 952317 1058130 1269756 1410840 1587195 1904634 2116260 2539512 2856951 3174390 3809268 4232520 4761585 5713902 6348780 7618536 9523170 11427804 12697560 14284755 19046340 22855608 28569510 38092680 57139020 114278040