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117417984 = 211329659
BaseRepresentation
bin1101111111110…
…10100000000000
322011221110012020
412333322200000
5220024333414
615352401440
72624015325
oct677724000
9264843166
10117417984
1160308962
12333a6280
131b4318c8
1411846b4c
15a4957a9
hex6ffa800

117417984 has 96 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 37732352.

The previous prime is 117417959. The next prime is 117417991. The reversal of 117417984 is 489714711.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 177847 + ... + 178505.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 2117417984 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 117417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).

117417984 is an abundant number, since it is smaller than the sum of its proper divisors (206906016).

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

117417984 is an equidigital number, since it uses as much as digits as its factorization.

117417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its digits is 56448, while the sum is 42.

The square root of 117417984 is about 10835.9579179692. The cubic root of 117417984 is about 489.6790679257.

The spelling of 117417984 in words is "one hundred seventeen million, four hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 659 696 768 928 1024 1318 1392 1536 1856 1977 2048 2636 2784 3072 3712 3954 5272 5568 6144 7424 7908 10544 11136 14848 15816 19111 21088 22272 29696 31632 38222 42176 44544 57333 59392 63264 76444 84352 89088 114666 126528 152888 168704 178176 229332 253056 305776 337408 458664 506112 611552 674816 917328 1012224 1223104 1349632 1834656 2024448 2446208 3669312 4048896 4892416 7338624 9784832 14677248 19569664 29354496 39139328 58708992 117417984