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114383360 = 295713491
BaseRepresentation
bin1101101000101…
…01101000000000
321222020021110202
412310111220000
5213240231420
615203344332
72556146120
oct664255000
9258207422
10114383360
1159625a03
12323820a8
131a90b580
1411296c80
15a096575
hex6d15a00

114383360 has 160 divisors (see below), whose sum is σ = 338228352. Its totient is φ = 36126720.

The previous prime is 114383351. The next prime is 114383371. The reversal of 114383360 is 63383411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232715 + ... + 233205.

Almost surely, 2114383360 is an apocalyptic number.

114383360 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 114383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169114176).

114383360 is an abundant number, since it is smaller than the sum of its proper divisors (223844992).

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

114383360 is an equidigital number, since it uses as much as digits as its factorization.

114383360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 114383360 is about 10695.0156615126. The cubic root of 114383360 is about 485.4236706078.

The spelling of 114383360 in words is "one hundred fourteen million, three hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 491 512 520 560 640 728 832 896 910 982 1040 1120 1280 1456 1664 1792 1820 1964 2080 2240 2455 2560 2912 3328 3437 3584 3640 3928 4160 4480 4910 5824 6383 6656 6874 7280 7856 8320 8960 9820 11648 12766 13748 14560 15712 16640 17185 17920 19640 23296 25532 27496 29120 31424 31915 33280 34370 39280 44681 46592 51064 54992 58240 62848 63830 68740 78560 89362 102128 109984 116480 125696 127660 137480 157120 178724 204256 219968 223405 232960 251392 255320 274960 314240 357448 408512 439936 446810 510640 549920 628480 714896 817024 879872 893620 1021280 1099840 1256960 1429792 1634048 1759744 1787240 2042560 2199680 2859584 3268096 3574480 4085120 4399360 5719168 7148960 8170240 8798720 11438336 14297920 16340480 22876672 28595840 57191680 114383360