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114310140 = 22357259659
BaseRepresentation
bin1101101000000…
…11101111111100
321222002120000220
412310003233330
5213230411030
615202021340
72555422500
oct664035774
9258076026
10114310140
115958599a
1232347850
131a8b4149
1411278300
15a07ea10
hex6d03bfc

114310140 has 144 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 25646208.

The previous prime is 114310109. The next prime is 114310187. The reversal of 114310140 is 41013411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173131 + ... + 173789.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 2114310140 is an apocalyptic number.

114310140 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 114310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

114310140 is an abundant number, since it is smaller than the sum of its proper divisors (264899460).

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

114310140 is a wasteful number, since it uses less digits than its factorization.

114310140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

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

The square root of 114310140 is about 10691.5920236418. The cubic root of 114310140 is about 485.3200707257.

Adding to 114310140 its reverse (41013411), we get a palindrome (155323551).

The spelling of 114310140 in words is "one hundred fourteen million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 59 60 70 84 98 105 118 140 147 177 196 210 236 245 294 295 354 413 420 490 588 590 659 708 735 826 885 980 1180 1239 1318 1470 1652 1770 1977 2065 2478 2636 2891 2940 3295 3540 3954 4130 4613 4956 5782 6195 6590 7908 8260 8673 9226 9885 11564 12390 13180 13839 14455 17346 18452 19770 23065 24780 27678 28910 32291 34692 38881 39540 43365 46130 55356 57820 64582 69195 77762 86730 92260 96873 116643 129164 138390 155524 161455 173460 193746 194405 233286 272167 276780 322910 387492 388810 466572 484365 544334 583215 645820 777620 816501 968730 1088668 1166430 1360835 1633002 1905169 1937460 2332860 2721670 3266004 3810338 4082505 5443340 5715507 7620676 8165010 9525845 11431014 16330020 19051690 22862028 28577535 38103380 57155070 114310140