Search a number
-
+
114142000 = 2453731263
BaseRepresentation
bin1101100110110…
…10101100110000
321221210000101111
412303122230300
5213210021000
615154243104
72554122340
oct663325460
9257700344
10114142000
1159480635
1232286494
131a85575b
1411232d20
15a049cba
hex6cdab30

114142000 has 160 divisors (see below), whose sum is σ = 326836224. Its totient is φ = 37728000.

The previous prime is 114141971. The next prime is 114142009. The reversal of 114142000 is 241411.

It is not an unprimeable number, because it can be changed into a prime (114142009) 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, 433869 + ... + 434131.

Almost surely, 2114142000 is an apocalyptic number.

114142000 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 114142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

114142000 is an abundant number, since it is smaller than the sum of its proper divisors (212694224).

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

114142000 is a wasteful number, since it uses less digits than its factorization.

114142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114142000 is about 10683.7259418239. The cubic root of 114142000 is about 485.0819998102.

Adding to 114142000 its reverse (241411), we get a palindrome (114383411).

The spelling of 114142000 in words is "one hundred fourteen million, one hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 263 280 310 350 400 434 496 500 526 560 620 700 775 868 875 1000 1052 1085 1240 1315 1400 1550 1736 1750 1841 2000 2104 2170 2480 2630 2800 3100 3472 3500 3682 3875 4208 4340 5260 5425 6200 6575 7000 7364 7750 8153 8680 9205 10520 10850 12400 13150 14000 14728 15500 16306 17360 18410 21040 21700 26300 27125 29456 31000 32612 32875 36820 40765 43400 46025 52600 54250 57071 62000 65224 65750 73640 81530 86800 92050 105200 108500 114142 130448 131500 147280 163060 184100 203825 217000 228284 230125 263000 285355 326120 368200 407650 434000 456568 460250 526000 570710 652240 736400 815300 913136 920500 1019125 1141420 1426775 1630600 1841000 2038250 2282840 2853550 3261200 3682000 4076500 4565680 5707100 7133875 8153000 11414200 14267750 16306000 22828400 28535500 57071000 114142000