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118113520 = 24572291039
BaseRepresentation
bin1110000101001…
…00010011110000
322020020210021211
413002210103300
5220214113040
615415325504
72632643200
oct702442360
9266223254
10118113520
1160743488
1233680894
131b616375
1411988400
15a5818ea
hex70a44f0

118113520 has 120 divisors (see below), whose sum is σ = 330782400. Its totient is φ = 39062016.

The previous prime is 118113493. The next prime is 118113529. The reversal of 118113520 is 25311811.

It is a super-3 number, since 3×1181135203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 118113491 and 118113500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118113529) 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 23 ways as a sum of consecutive naturals, for example, 113161 + ... + 114199.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2118113520 is an apocalyptic number.

118113520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165391200).

118113520 is an abundant number, since it is smaller than the sum of its proper divisors (212668880).

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

118113520 is a wasteful number, since it uses less digits than its factorization.

118113520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 118113520 is about 10868.0044166351. The cubic root of 118113520 is about 490.6440510541.

The spelling of 118113520 in words is "one hundred eighteen million, one hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 203 232 245 280 290 392 406 464 490 560 580 784 812 980 1015 1039 1160 1421 1624 1960 2030 2078 2320 2842 3248 3920 4060 4156 5195 5684 7105 7273 8120 8312 10390 11368 14210 14546 16240 16624 20780 22736 28420 29092 30131 36365 41560 50911 56840 58184 60262 72730 83120 101822 113680 116368 120524 145460 150655 203644 210917 241048 254555 290920 301310 407288 421834 482096 509110 581840 602620 814576 843668 1018220 1054585 1205240 1476419 1687336 2036440 2109170 2410480 2952838 3374672 4072880 4218340 5905676 7382095 8436680 11811352 14764190 16873360 23622704 29528380 59056760 118113520