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118242432 = 27327113143
BaseRepresentation
bin1110000110000…
…11110010000000
322020111100010100
413003003302000
5220232224212
615422202400
72634021060
oct703036200
9266440110
10118242432
1160821320
1233723400
131b65cc49
14119bd3a0
15a5a9bdc
hex70c3c80

118242432 has 384 divisors, whose sum is σ = 448081920. Its totient is φ = 29030400.

The previous prime is 118242419. The next prime is 118242457. The reversal of 118242432 is 234242811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 118242396 and 118242405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749803 + ... + 2749845.

It is an arithmetic number, because the mean of its divisors is an integer number (1166880).

Almost surely, 2118242432 is an apocalyptic number.

118242432 is a gapful number since it is divisible by the number (12) 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 118242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224040960).

118242432 is an abundant number, since it is smaller than the sum of its proper divisors (329839488).

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

118242432 is a wasteful number, since it uses less digits than its factorization.

118242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 118242432 is about 10873.9336028872. The cubic root of 118242432 is about 490.8224864808.

The spelling of 118242432 in words is "one hundred eighteen million, two hundred forty-two thousand, four hundred thirty-two".