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117192096 = 253572153
BaseRepresentation
bin1101111110000…
…11010110100000
322011111222100000
412333003112200
5220000121341
615343500000
72622054630
oct677032640
9264458300
10117192096
116017417a
12332b7600
131b382b48
14117c86c0
15a44d8b6
hex6fc35a0

117192096 has 144 divisors (see below), whose sum is σ = 395164224. Its totient is φ = 33467904.

The previous prime is 117192091. The next prime is 117192137. The reversal of 117192096 is 690291711.

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 117192096.

It is not an unprimeable number, because it can be changed into a prime (117192091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53356 + ... + 55508.

It is an arithmetic number, because the mean of its divisors is an integer number (2744196).

Almost surely, 2117192096 is an apocalyptic number.

117192096 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 117192096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197582112).

117192096 is an abundant number, since it is smaller than the sum of its proper divisors (277972128).

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

117192096 is an equidigital number, since it uses as much as digits as its factorization.

117192096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 117192096 is about 10825.5298253711. The cubic root of 117192096 is about 489.3648524782.

The spelling of 117192096 in words is "one hundred seventeen million, one hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2153 2268 2592 3024 3402 3888 4306 4536 6048 6459 6804 7776 8612 9072 12918 13608 15071 17224 18144 19377 25836 27216 30142 34448 38754 45213 51672 54432 58131 60284 68896 77508 90426 103344 116262 120568 135639 155016 174393 180852 206688 232524 241136 271278 310032 348786 361704 406917 465048 482272 523179 542556 620064 697572 723408 813834 930096 1046358 1085112 1220751 1395144 1446816 1627668 1860192 2092716 2170224 2441502 2790288 3255336 3662253 4185432 4340448 4883004 5580576 6510672 7324506 8370864 9766008 13021344 14649012 16741728 19532016 29298024 39064032 58596048 117192096