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115084008 = 233213122953
BaseRepresentation
bin1101101110000…
…00101011101000
322000112212120200
412313000223220
5213430142013
615230352200
72565124614
oct667005350
9260485520
10115084008
1159a64356
123265b660
131aac5460
14113da344
15a183e73
hex6dc0ae8

115084008 has 48 divisors (see below), whose sum is σ = 335664420. Its totient is φ = 35410176.

The previous prime is 115083979. The next prime is 115084037. The reversal of 115084008 is 800480511.

It is an interprime number because it is at equal distance from previous prime (115083979) and next prime (115084037).

It can be written as a sum of positive squares in 2 ways, for example, as 114447204 + 636804 = 10698^2 + 798^2 .

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 11 ways as a sum of consecutive naturals, for example, 60541 + ... + 62412.

Almost surely, 2115084008 is an apocalyptic number.

115084008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115084008 is an abundant number, since it is smaller than the sum of its proper divisors (220580412).

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

115084008 is a wasteful number, since it uses less digits than its factorization.

115084008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122978 (or 122971 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 115084008 is about 10727.7214728944. The cubic root of 115084008 is about 486.4127976817.

It can be divided in two parts, 1150 and 84008, that added together give a palindrome (85158).

The spelling of 115084008 in words is "one hundred fifteen million, eighty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 122953 245906 368859 491812 737718 983624 1106577 1475436 1598389 2213154 2950872 3196778 4426308 4795167 6393556 8852616 9590334 12787112 14385501 19180668 28771002 38361336 57542004 115084008