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114939825 = 352711131531
BaseRepresentation
bin1101101100111…
…01011110110001
322000021112210120
412312131132301
5213411033300
615223320453
72563654350
oct666353661
9260245716
10114939825
1159975aa0
12325b0129
131aa74940
141139d997
15a1563a0
hex6d9d7b1

114939825 has 96 divisors (see below), whose sum is σ = 255316992. Its totient is φ = 44064000.

The previous prime is 114939821. The next prime is 114939827. The reversal of 114939825 is 528939411.

It is not a de Polignac number, because 114939825 - 22 = 114939821 is a prime.

It is a super-2 number, since 2×1149398252 = 26422326742061250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114939821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74310 + ... + 75840.

It is an arithmetic number, because the mean of its divisors is an integer number (2659552).

Almost surely, 2114939825 is an apocalyptic number.

114939825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114939825 is an abundant number, since it is smaller than the sum of its proper divisors (140377167).

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

114939825 is a wasteful number, since it uses less digits than its factorization.

114939825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 114939825 is about 10720.9992538009. Note that the first 3 decimals coincide. The cubic root of 114939825 is about 486.2095786984.

It can be divided in two parts, 114 and 939825, that added together give a palindrome (939939).

The spelling of 114939825 in words is "one hundred fourteen million, nine hundred thirty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 175 195 231 273 275 325 385 429 455 525 715 825 975 1001 1155 1365 1531 1925 2145 2275 3003 3575 4593 5005 5775 6825 7655 10717 10725 15015 16841 19903 22965 25025 32151 38275 50523 53585 59709 75075 84205 99515 114825 117887 139321 160755 218933 252615 267925 298545 353661 417963 421025 497575 589435 656799 696605 803775 1094665 1263075 1492725 1532531 1768305 2089815 2947175 3283995 3483025 4597593 5473325 7662655 8841525 10449075 16419975 22987965 38313275 114939825