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114455600 = 2452741997
BaseRepresentation
bin1101101001001…
…11010000110000
321222100221120022
412310213100300
5213300034400
615205103012
72556566540
oct664472060
9258327508
10114455600
1159675206
12323b7a68
131a93540c
14112b5320
15a0acb85
hex6d27430

114455600 has 120 divisors (see below), whose sum is σ = 322250208. Its totient is φ = 38246400.

The previous prime is 114455591. The next prime is 114455603. The reversal of 114455600 is 6554411.

It is a self number, because there is not a number n which added to its sum of digits gives 114455600.

It is not an unprimeable number, because it can be changed into a prime (114455603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114302 + ... + 115298.

Almost surely, 2114455600 is an apocalyptic number.

114455600 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 114455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161125104).

114455600 is an abundant number, since it is smaller than the sum of its proper divisors (207794608).

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

114455600 is a wasteful number, since it uses less digits than its factorization.

114455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 114455600 is about 10698.3924025996. The cubic root of 114455600 is about 485.5258405570.

The spelling of 114455600 in words is "one hundred fourteen million, four hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 400 410 560 574 656 700 820 997 1025 1148 1400 1435 1640 1994 2050 2296 2800 2870 3280 3988 4100 4592 4985 5740 6979 7175 7976 8200 9970 11480 13958 14350 15952 16400 19940 22960 24925 27916 28700 34895 39880 40877 49850 55832 57400 69790 79760 81754 99700 111664 114800 139580 163508 174475 199400 204385 279160 286139 327016 348950 398800 408770 558320 572278 654032 697900 817540 1021925 1144556 1395800 1430695 1635080 2043850 2289112 2791600 2861390 3270160 4087700 4578224 5722780 7153475 8175400 11445560 14306950 16350800 22891120 28613900 57227800 114455600