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117099648 = 2733311093
BaseRepresentation
bin1101111101011…
…00110010000000
322011100021112000
412332230302000
5214434142043
615341504000
72621221251
oct676546200
9264307460
10117099648
1160110776
1233272000
131b34ca43
14117a2b28
15a4312d3
hex6facc80

117099648 has 128 divisors (see below), whose sum is σ = 357081600. Its totient is φ = 37739520.

The previous prime is 117099643. The next prime is 117099659. The reversal of 117099648 is 846990711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (117099643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106590 + ... + 107682.

It is an arithmetic number, because the mean of its divisors is an integer number (2789700).

Almost surely, 2117099648 is an apocalyptic number.

117099648 is a gapful number since it is divisible by the number (18) 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 117099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178540800).

117099648 is an abundant number, since it is smaller than the sum of its proper divisors (239981952).

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

117099648 is a wasteful number, since it uses less digits than its factorization.

117099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 117099648 is about 10821.2590764661. The cubic root of 117099648 is about 489.2361387257.

The spelling of 117099648 in words is "one hundred seventeen million, ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1093 1116 1152 1488 1674 1728 1984 2186 2232 2976 3279 3348 3456 3968 4372 4464 5952 6558 6696 8744 8928 9837 11904 13116 13392 17488 17856 19674 26232 26784 29511 33883 34976 35712 39348 52464 53568 59022 67766 69952 78696 101649 104928 107136 118044 135532 139904 157392 203298 209856 236088 271064 304947 314784 406596 419712 472176 542128 609894 629568 813192 914841 944352 1084256 1219788 1259136 1626384 1829682 1888704 2168512 2439576 3252768 3659364 3777408 4337024 4879152 6505536 7318728 9758304 13011072 14637456 19516608 29274912 39033216 58549824 117099648