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114730440 = 233511233779
BaseRepresentation
bin1101101011010…
…10010111001000
321222212220120120
412311222113020
5213332333230
615215023240
72562123036
oct665522710
9258786516
10114730440
1159842750
123250ab20
131aa00546
1411347556
15a114310
hex6d6a5c8

114730440 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 26597120.

The previous prime is 114730381. The next prime is 114730471. The reversal of 114730440 is 44037411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114730440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28471 + ... + 32249.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2114730440 is an apocalyptic number.

114730440 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 114730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

114730440 is an abundant number, since it is smaller than the sum of its proper divisors (277179960).

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

114730440 is a wasteful number, since it uses less digits than its factorization.

114730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 114730440 is about 10711.2296212900. The cubic root of 114730440 is about 485.9141578136.

Adding to 114730440 its reverse (44037411), we get a palindrome (158767851).

The spelling of 114730440 in words is "one hundred fourteen million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3779 3795 5060 6072 7558 7590 10120 11337 15116 15180 18895 22674 30232 30360 37790 41569 45348 56685 75580 83138 86917 90696 113370 124707 151160 166276 173834 207845 226740 249414 260751 332552 347668 415690 434585 453480 498828 521502 623535 695336 831380 869170 956087 997656 1043004 1247070 1303755 1662760 1738340 1912174 2086008 2494140 2607510 2868261 3476680 3824348 4780435 4988280 5215020 5736522 7648696 9560870 10430040 11473044 14341305 19121740 22946088 28682610 38243480 57365220 114730440