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114590025 = 33521122361
BaseRepresentation
bin1101101010010…
…00000101001001
321222121202222000
412311020011021
5213313340100
615212021213
72560666464
oct665100511
9258552860
10114590025
1159757200
1232461809
131a981664
141130c2db
15a0d7900
hex6d48149

114590025 has 144 divisors (see below), whose sum is σ = 245400960. Its totient is φ = 52272000.

The previous prime is 114590011. The next prime is 114590027. The reversal of 114590025 is 520095411.

It is not a de Polignac number, because 114590025 - 27 = 114589897 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114590027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1878495 + ... + 1878555.

Almost surely, 2114590025 is an apocalyptic number.

114590025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114590025 is an abundant number, since it is smaller than the sum of its proper divisors (130810935).

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

114590025 is a wasteful number, since it uses less digits than its factorization.

114590025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 114590025 is about 10704.6730449837. The cubic root of 114590025 is about 485.7158451713.

The spelling of 114590025 in words is "one hundred fourteen million, five hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 11 15 23 25 27 33 45 55 61 69 75 99 115 121 135 165 183 207 225 253 275 297 305 345 363 495 549 575 605 621 671 675 759 825 915 1035 1089 1265 1403 1485 1525 1647 1725 1815 2013 2277 2475 2745 2783 3025 3105 3267 3355 3795 4209 4575 5175 5445 6039 6325 6831 7015 7381 7425 8235 8349 9075 10065 11385 12627 13725 13915 15433 15525 16335 16775 18117 18975 21045 22143 25047 27225 30195 34155 35075 36905 37881 41175 41745 46299 50325 56925 63135 66429 69575 75141 77165 81675 90585 105225 110715 125235 138897 150975 169763 170775 184525 189405 199287 208725 231495 315675 332145 375705 385825 416691 452925 509289 553575 626175 694485 848815 947025 996435 1157475 1527867 1660725 1878525 2083455 2546445 3472425 4244075 4583601 4982175 7639335 10417275 12732225 22918005 38196675 114590025