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117478368 = 25327193067
BaseRepresentation
bin1110000000010…
…01001111100000
322012001112000200
413000021033200
5220033301433
615353545200
72624356350
oct700111740
9265045020
10117478368
116034a267
1233415200
131b453237
1411860b60
15a4a8613
hex70093e0

117478368 has 144 divisors (see below), whose sum is σ = 402030720. Its totient is φ = 31788288.

The previous prime is 117478357. The next prime is 117478373. The reversal of 117478368 is 863874711.

117478368 is a `hidden beast` number, since 117 + 478 + 3 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36771 + ... + 39837.

It is an arithmetic number, because the mean of its divisors is an integer number (2791880).

Almost surely, 2117478368 is an apocalyptic number.

117478368 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 117478368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201015360).

117478368 is an abundant number, since it is smaller than the sum of its proper divisors (284552352).

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

117478368 is a wasteful number, since it uses less digits than its factorization.

117478368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3098 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 117478368 is about 10838.7438386558. The cubic root of 117478368 is about 489.7629951986.

The spelling of 117478368 in words is "one hundred seventeen million, four hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3067 3192 4256 4788 5472 6134 6384 9201 9576 12268 12768 18402 19152 21469 24536 27603 36804 38304 42938 49072 55206 58273 64407 73608 85876 98144 110412 116546 128814 147216 171752 174819 193221 220824 233092 257628 294432 343504 349638 386442 407911 441648 466184 515256 524457 687008 699276 772884 815822 883296 932368 1030512 1048914 1223733 1398552 1545768 1631644 1864736 2061024 2097828 2447466 2797104 3091536 3263288 3671199 4195656 4894932 5594208 6183072 6526576 7342398 8391312 9789864 13053152 14684796 16782624 19579728 29369592 39159456 58739184 117478368