Search a number
-
+
114397440 = 2835313
BaseRepresentation
bin1101101000110…
…01000100000000
321222020222210020
412310121010000
5213241204230
615203533440
72556235143
oct664310400
9258228706
10114397440
1159635543
123238a280
131a914ac1
141129c05a
15a09a810
hex6d19100

114397440 has 144 divisors (see below), whose sum is σ = 377534976. Its totient is φ = 29521920.

The previous prime is 114397433. The next prime is 114397441. The reversal of 114397440 is 44793411.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 620 × 372 × 496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114397441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3690225 + ... + 3690255.

Almost surely, 2114397440 is an apocalyptic number.

114397440 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 114397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188767488).

114397440 is an abundant number, since it is smaller than the sum of its proper divisors (263137536).

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

114397440 is an frugal number, since it uses more digits than its factorization.

114397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 114397440 is about 10695.6738918125. The cubic root of 114397440 is about 485.4435875049.

The spelling of 114397440 in words is "one hundred fourteen million, three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 961 992 1240 1280 1488 1860 1920 1922 1984 2480 2883 2976 3720 3840 3844 3968 4805 4960 5766 5952 7440 7688 7936 9610 9920 11532 11904 14415 14880 15376 19220 19840 23064 23808 28830 29760 29791 30752 38440 39680 46128 57660 59520 59582 61504 76880 89373 92256 115320 119040 119164 123008 148955 153760 178746 184512 230640 238328 246016 297910 307520 357492 369024 446865 461280 476656 595820 615040 714984 738048 893730 922560 953312 1191640 1230080 1429968 1787460 1845120 1906624 2383280 2859936 3574920 3690240 3813248 4766560 5719872 7149840 7626496 9533120 11439744 14299680 19066240 22879488 28599360 38132480 57198720 114397440