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117317376 = 2833111543
BaseRepresentation
bin1101111111000…
…01111100000000
322011202100012000
412333201330000
5220013124001
615350304000
72623116111
oct677417400
9264670160
10117317376
116024a310
1233358000
131b3c7b87
141181c208
15a475a86
hex6fe1f00

117317376 has 144 divisors (see below), whose sum is σ = 378712320. Its totient is φ = 35527680.

The previous prime is 117317297. The next prime is 117317467. The reversal of 117317376 is 673713711.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 117317376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75261 + ... + 76803.

Almost surely, 2117317376 is an apocalyptic number.

117317376 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 117317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189356160).

117317376 is an abundant number, since it is smaller than the sum of its proper divisors (261394944).

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

117317376 is a wasteful number, since it uses less digits than its factorization.

117317376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1559 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 117317376 is about 10831.3146016539. The cubic root of 117317376 is about 489.5391696820.

The spelling of 117317376 in words is "one hundred seventeen million, three hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1543 1584 1728 2112 2304 2376 2816 3086 3168 3456 4224 4629 4752 6172 6336 6912 8448 9258 9504 12344 12672 13887 16973 18516 19008 24688 25344 27774 33946 37032 38016 41661 49376 50919 55548 67892 74064 76032 83322 98752 101838 111096 135784 148128 152757 166644 197504 203676 222192 271568 296256 305514 333288 395008 407352 444384 458271 543136 592512 611028 666576 814704 888768 916542 1086272 1185024 1222056 1333152 1629408 1777536 1833084 2172544 2444112 2666304 3258816 3555072 3666168 4345088 4888224 5332608 6517632 7332336 9776448 10665216 13035264 14664672 19552896 29329344 39105792 58658688 117317376