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118506528 = 25327292027
BaseRepresentation
bin1110001000001…
…00010000100000
322020222202101200
413010010100200
5220314202103
615432001200
72636201040
oct704042040
9266882350
10118506528
1160991788
1233830200
131b72320a
1411a4b720
15a60d0a3
hex7104420

118506528 has 144 divisors (see below), whose sum is σ = 398623680. Its totient is φ = 32675328.

The previous prime is 118506517. The next prime is 118506529. The reversal of 118506528 is 825605811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1185065282 = 28087594357229568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 118506492 and 118506501.

It is not an unprimeable number, because it can be changed into a prime (118506529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57451 + ... + 59477.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2118506528 is an apocalyptic number.

118506528 is a gapful number since it is divisible by the number (18) 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 118506528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

118506528 is an abundant number, since it is smaller than the sum of its proper divisors (280117152).

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

118506528 is a wasteful number, since it uses less digits than its factorization.

118506528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 118506528 is about 10886.0703653798. The cubic root of 118506528 is about 491.1876342171.

The spelling of 118506528 in words is "one hundred eighteen million, five hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2027 2088 2436 2784 3248 3654 4054 4176 4872 6081 6496 7308 8108 8352 9744 12162 14189 14616 16216 18243 19488 24324 28378 29232 32432 36486 42567 48648 56756 58464 58783 64864 72972 85134 97296 113512 117566 127701 145944 170268 176349 194592 227024 235132 255402 291888 340536 352698 411481 454048 470264 510804 529047 583776 681072 705396 822962 940528 1021608 1058094 1234443 1362144 1410792 1645924 1881056 2043216 2116188 2468886 2821584 3291848 3703329 4086432 4232376 4937772 5643168 6583696 7406658 8464752 9875544 13167392 14813316 16929504 19751088 29626632 39502176 59253264 118506528