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114020460 = 2235529809
BaseRepresentation
bin1101100101111…
…01000001101100
321221112211200000
412302331001230
5213142123320
615151504300
72553105111
oct662750154
9257484600
10114020460
11593a8294
1232228090
131a812338
1411200908
15a023c90
hex6cbd06c

114020460 has 144 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 29320704.

The previous prime is 114020441. The next prime is 114020461. The reversal of 114020460 is 64020411.

It is a super-2 number, since 2×1140204602 = 26001330597223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114020461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140536 + ... + 141344.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2114020460 is an apocalyptic number.

114020460 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 114020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

114020460 is an abundant number, since it is smaller than the sum of its proper divisors (257477940).

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

114020460 is a wasteful number, since it uses less digits than its factorization.

114020460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114020460 is about 10678.0363363308. The cubic root of 114020460 is about 484.9097646275.

Adding to 114020460 its reverse (64020411), we get a palindrome (178040871).

The spelling of 114020460 in words is "one hundred fourteen million, twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 809 810 870 972 1044 1215 1305 1566 1618 1620 1740 2349 2427 2430 2610 3132 3236 3915 4045 4698 4854 4860 5220 7047 7281 7830 8090 9396 9708 11745 12135 14094 14562 15660 16180 21843 23461 23490 24270 28188 29124 35235 36405 43686 46922 46980 48540 65529 70383 70470 72810 87372 93844 109215 117305 131058 140766 140940 145620 196587 211149 218430 234610 262116 281532 327645 351915 393174 422298 436860 469220 633447 655290 703830 786348 844596 982935 1055745 1266894 1310580 1407660 1900341 1965870 2111490 2533788 3167235 3800682 3931740 4222980 5701023 6334470 7601364 9501705 11402046 12668940 19003410 22804092 28505115 38006820 57010230 114020460