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114263625 = 3537192979
BaseRepresentation
bin1101100111110…
…00011001001001
321222000012020010
412303320121021
5213222414000
615201022133
72555140050
oct663703111
9258005203
10114263625
1159553a53
1232324949
131a898c18
1411265397
15a070d50
hex6cf8649

114263625 has 128 divisors (see below), whose sum is σ = 239616000. Its totient is φ = 47174400.

The previous prime is 114263603. The next prime is 114263641. The reversal of 114263625 is 526362411.

It is not a de Polignac number, because 114263625 - 27 = 114263497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114263592 and 114263601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1446336 + ... + 1446414.

It is an arithmetic number, because the mean of its divisors is an integer number (1872000).

Almost surely, 2114263625 is an apocalyptic number.

114263625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114263625 is an abundant number, since it is smaller than the sum of its proper divisors (125352375).

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

114263625 is a wasteful number, since it uses less digits than its factorization.

114263625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 114263625 is about 10689.4164948326. The cubic root of 114263625 is about 485.2542330966.

It can be divided in two parts, 11426 and 3625, that added together give a palindrome (15051).

The spelling of 114263625 in words is "one hundred fourteen million, two hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 29 35 57 75 79 87 95 105 125 133 145 175 203 237 285 375 395 399 435 475 525 551 553 609 665 725 875 1015 1185 1425 1501 1653 1659 1975 1995 2175 2291 2375 2625 2755 2765 3045 3325 3625 3857 4503 5075 5925 6873 7125 7505 8265 8295 9875 9975 10507 10875 11455 11571 13775 13825 15225 16037 16625 19285 22515 25375 29625 31521 34365 37525 41325 41475 43529 48111 49875 52535 57275 57855 68875 69125 76125 80185 96425 112575 130587 157605 171825 187625 206625 207375 217645 240555 262675 286375 289275 304703 400925 482125 562875 652935 788025 859125 914109 1088225 1202775 1313375 1446375 1523515 2004625 3264675 3940125 4570545 5441125 6013875 7617575 16323375 22852725 38087875 114263625