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117447984 = 24322273593
BaseRepresentation
bin1110000000000…
…01110100110000
322011222222100100
413000001310300
5220031313414
615353152400
72624201643
oct700016460
9264888310
10117447984
1160329455
12333bb700
131b442464
1411853a5a
15a49e609
hex7001d30

117447984 has 60 divisors (see below), whose sum is σ = 330231096. Its totient is φ = 38966016.

The previous prime is 117447961. The next prime is 117447989. The reversal of 117447984 is 489744711.

It is a happy number.

117447984 is a `hidden beast` number, since 1 + 174 + 479 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (117447989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30892 + ... + 34484.

Almost surely, 2117447984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117447984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165115548).

117447984 is an abundant number, since it is smaller than the sum of its proper divisors (212783112).

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

117447984 is a wasteful number, since it uses less digits than its factorization.

117447984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3825 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 117447984 is about 10837.3421095765. The cubic root of 117447984 is about 489.7207682984.

The spelling of 117447984 in words is "one hundred seventeen million, four hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1362 1816 2043 2724 3593 3632 4086 5448 7186 8172 10779 10896 14372 16344 21558 28744 32337 32688 43116 57488 64674 86232 129348 172464 258696 517392 815611 1631222 2446833 3262444 4893666 6524888 7340499 9787332 13049776 14680998 19574664 29361996 39149328 58723992 117447984