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118768230 = 23257533557
BaseRepresentation
bin1110001010001…
…00001001100110
322021111001101100
413011010021212
5220401040410
615441340530
72641341030
oct705041146
9267431340
10118768230
1161050369
1233937746
131b7b5379
1411ab8c50
15a6608c0
hex7144266

118768230 has 96 divisors (see below), whose sum is σ = 359671104. Its totient is φ = 26627328.

The previous prime is 118768219. The next prime is 118768231. The reversal of 118768230 is 32867811.

It is a super-3 number, since 3×1187682303 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118768231) 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 47 ways as a sum of consecutive naturals, for example, 31612 + ... + 35168.

It is an arithmetic number, because the mean of its divisors is an integer number (3746574).

Almost surely, 2118768230 is an apocalyptic number.

118768230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 118768230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179835552).

118768230 is an abundant number, since it is smaller than the sum of its proper divisors (240902874).

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

118768230 is a wasteful number, since it uses less digits than its factorization.

118768230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 118768230 is about 10898.0837765178. The cubic root of 118768230 is about 491.5489371795.

The spelling of 118768230 in words is "one hundred eighteen million, seven hundred sixty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3557 3710 4770 5565 6678 7114 10671 11130 16695 17785 21342 24899 32013 33390 35570 49798 53355 64026 74697 106710 124495 149394 160065 188521 224091 248990 320130 373485 377042 448182 565563 746970 942605 1120455 1131126 1319647 1696689 1885210 2240910 2639294 2827815 3393378 3958941 5655630 6598235 7917882 8483445 11876823 13196470 16966890 19794705 23753646 39589410 59384115 118768230