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118810000 = 24541092
BaseRepresentation
bin1110001010011…
…10010110010000
322021120011200101
413011032112100
5220403410000
615442302144
72641603561
oct705162620
9267504611
10118810000
1161079791
1233957954
131b7cb39a
1411aca168
15a66ce6a
hex714e590

118810000 has 75 divisors (see below), whose sum is σ = 290314101. Its totient is φ = 47088000.

The previous prime is 118809959. The next prime is 118810033. The reversal of 118810000 is 18811.

The square root of 118810000 is 10900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 69022864 + 49787136 = 8308^2 + 7056^2 .

It is a super-2 number, since 2×1188100002 = 28231632200000000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 118810000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1089946 + ... + 1090054.

Almost surely, 2118810000 is an apocalyptic number.

118810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118810000 is the 10900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118810000

118810000 is an abundant number, since it is smaller than the sum of its proper divisors (171504101).

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

118810000 is an frugal number, since it uses more digits than its factorization.

118810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The cubic root of 118810000 is about 491.6065552608.

Multiplying 118810000 by its product of nonzero digits (64), we get a square (7603840000 = 872002).

Adding to 118810000 its reverse (18811), we get a palindrome (118828811).

The spelling of 118810000 in words is "one hundred eighteen million, eight hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 625 872 1000 1090 1250 1744 2000 2180 2500 2725 4360 5000 5450 8720 10000 10900 11881 13625 21800 23762 27250 43600 47524 54500 59405 68125 95048 109000 118810 136250 190096 218000 237620 272500 297025 475240 545000 594050 950480 1090000 1188100 1485125 2376200 2970250 4752400 5940500 7425625 11881000 14851250 23762000 29702500 59405000 118810000