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114325560 = 23335372861
BaseRepresentation
bin1101101000001…
…11100000111000
321222010100012000
412310013200320
5213231404220
615202221000
72555515446
oct664074070
9258110160
10114325560
1159596538
1232354760
131a8bb17b
141127db96
15a084390
hex6d07838

114325560 has 128 divisors (see below), whose sum is σ = 391521600. Its totient is φ = 29652480.

The previous prime is 114325553. The next prime is 114325567. The reversal of 114325560 is 65523411.

It is an interprime number because it is at equal distance from previous prime (114325553) and next prime (114325567).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114325567) 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, 38530 + ... + 41390.

Almost surely, 2114325560 is an apocalyptic number.

114325560 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 114325560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195760800).

114325560 is an abundant number, since it is smaller than the sum of its proper divisors (277196040).

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

114325560 is a wasteful number, since it uses less digits than its factorization.

114325560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 114325560 is about 10692.3131267280. The cubic root of 114325560 is about 485.3418923506.

Adding to 114325560 its reverse (65523411), we get a palindrome (179848971).

The spelling of 114325560 in words is "one hundred fourteen million, three hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 2861 3330 3996 4440 4995 5722 6660 7992 8583 9990 11444 13320 14305 17166 19980 22888 25749 28610 34332 39960 42915 51498 57220 68664 77247 85830 102996 105857 114440 128745 154494 171660 205992 211714 257490 308988 317571 343320 386235 423428 514980 529285 617976 635142 772470 846856 952713 1029960 1058570 1270284 1544940 1587855 1905426 2117140 2540568 2858139 3089880 3175710 3810852 4234280 4763565 5716278 6351420 7621704 9527130 11432556 12702840 14290695 19054260 22865112 28581390 38108520 57162780 114325560