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117070976 = 2711176773
BaseRepresentation
bin1101111101001…
…01110010000000
322011021211012002
412332211302000
5214432232401
615341123132
72621041541
oct676456200
9264254162
10117070976
11600a1180
12332594a8
131b33c989
14117964c8
15a427a6b
hex6fa5c80

117070976 has 128 divisors (see below), whose sum is σ = 277162560. Its totient is φ = 48660480.

The previous prime is 117070963. The next prime is 117071023. The reversal of 117070976 is 679070711.

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

It is a super-2 number, since 2×1170709762 = 27411226843185152, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1603676 + ... + 1603748.

Almost surely, 2117070976 is an apocalyptic number.

117070976 is a gapful number since it is divisible by the number (16) 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 117070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138581280).

117070976 is an abundant number, since it is smaller than the sum of its proper divisors (160091584).

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

117070976 is a wasteful number, since it uses less digits than its factorization.

117070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 38.

The square root of 117070976 is about 10819.9341957334. The cubic root of 117070976 is about 489.1962054329.

The spelling of 117070976 in words is "one hundred seventeen million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 67 68 73 88 128 134 136 146 176 187 268 272 292 352 374 536 544 584 704 737 748 803 1072 1088 1139 1168 1241 1408 1474 1496 1606 2144 2176 2278 2336 2482 2948 2992 3212 4288 4556 4672 4891 4964 5896 5984 6424 8576 9112 9344 9782 9928 11792 11968 12529 12848 13651 18224 19564 19856 23584 23936 25058 25696 27302 36448 39128 39712 47168 50116 51392 53801 54604 72896 78256 79424 83147 94336 100232 102784 107602 109208 145792 156512 158848 166294 200464 215204 218416 313024 332588 400928 430408 436832 626048 665176 801856 860816 873664 914617 1330352 1603712 1721632 1747328 1829234 2660704 3443264 3658468 5321408 6886528 7316936 10642816 14633872 29267744 58535488 117070976