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117027648 = 2632203173
BaseRepresentation
bin1101111100110…
…11001101000000
322011012121202100
412332123031000
5214424341043
615340150400
72620501323
oct676331500
9264177670
10117027648
1160071671
1233238400
131b32603a
14117847ba
15a419cd3
hex6f9b340

117027648 has 42 divisors (see below), whose sum is σ = 335440274. Its totient is φ = 39009024.

The previous prime is 117027641. The next prime is 117027649. The reversal of 117027648 is 846720711.

117027648 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 2 + 7 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115089984 + 1937664 = 10728^2 + 1392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117027641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101011 + ... + 102162.

Almost surely, 2117027648 is an apocalyptic number.

117027648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117027648 is an abundant number, since it is smaller than the sum of its proper divisors (218412626).

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

117027648 is a wasteful number, since it uses less digits than its factorization.

117027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203191 (or 203178 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117027648 is about 10817.9317801510. The cubic root of 117027648 is about 489.1358474367.

The spelling of 117027648 in words is "one hundred seventeen million, twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 203173 406346 609519 812692 1219038 1625384 1828557 2438076 3250768 3657114 4876152 6501536 7314228 9752304 13003072 14628456 19504608 29256912 39009216 58513824 117027648