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114844730 = 257211213149
BaseRepresentation
bin1101101100001…
…10010000111010
322000002201100112
412312012100322
5213400012410
615221304322
72563110200
oct666062072
9260081315
10114844730
1159910600
12325650a2
131aa40580
1411377070
15a138105
hex6d8643a

114844730 has 144 divisors (see below), whose sum is σ = 286561800. Its totient is φ = 32820480.

The previous prime is 114844729. The next prime is 114844757. The reversal of 114844730 is 37448411.

It can be written as a sum of positive squares in 4 ways, for example, as 46963609 + 67881121 = 6853^2 + 8239^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 770696 + ... + 770844.

Almost surely, 2114844730 is an apocalyptic number.

114844730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114844730 is an abundant number, since it is smaller than the sum of its proper divisors (171717070).

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

114844730 is a wasteful number, since it uses less digits than its factorization.

114844730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 114844730 is about 10716.5633483874. The cubic root of 114844730 is about 486.0754538586.

The spelling of 114844730 in words is "one hundred fourteen million, eight hundred forty-four thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 121 130 143 149 154 182 242 245 286 298 385 455 490 539 605 637 715 745 770 847 910 1001 1043 1078 1210 1274 1430 1490 1573 1639 1694 1937 2002 2086 2695 3146 3185 3278 3874 4235 5005 5215 5390 5929 6370 7007 7301 7865 8195 8470 9685 10010 10430 11011 11473 11858 13559 14014 14602 15730 16390 18029 19370 21307 22022 22946 27118 29645 35035 36058 36505 42614 55055 57365 59290 67795 70070 73010 77077 80311 90145 94913 106535 110110 114730 126203 135590 149149 154154 160622 180290 189826 213070 234377 252406 298298 385385 401555 468754 474565 631015 745745 770770 803110 883421 949130 1044043 1171885 1262030 1491490 1640639 1766842 2088086 2343770 3281278 4417105 5220215 8203195 8834210 10440430 11484473 16406390 22968946 57422365 114844730