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114454620 = 22345710093
BaseRepresentation
bin1101101001001…
…11000001011100
321222100220020000
412310213001130
5213300021440
615205054300
72556563640
oct664470134
9258326200
10114454620
11596744a5
12323b7390
131a934b37
14112b4c20
15a0ac730
hex6d2705c

114454620 has 120 divisors (see below), whose sum is σ = 410381664. Its totient is φ = 26158464.

The previous prime is 114454607. The next prime is 114454621. The reversal of 114454620 is 26454411.

114454620 is a `hidden beast` number, since 114 + 4 + 546 + 2 + 0 = 666.

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 (114454621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6294 + ... + 16386.

Almost surely, 2114454620 is an apocalyptic number.

114454620 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 114454620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205190832).

114454620 is an abundant number, since it is smaller than the sum of its proper divisors (295927044).

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

114454620 is a wasteful number, since it uses less digits than its factorization.

114454620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 114454620 is about 10698.3466012277. The cubic root of 114454620 is about 485.5244548182.

The spelling of 114454620 in words is "one hundred fourteen million, four hundred fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 10093 11340 20186 30279 40372 50465 60558 70651 90837 100930 121116 141302 151395 181674 201860 211953 272511 282604 302790 353255 363348 423906 454185 545022 605580 635859 706510 817533 847812 908370 1059765 1090044 1271718 1362555 1413020 1635066 1816740 1907577 2119530 2543436 2725110 3179295 3270132 3815154 4087665 4239060 5450220 5722731 6358590 7630308 8175330 9537885 11445462 12717180 16350660 19075770 22890924 28613655 38151540 57227310 114454620