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117296424 = 23347191361
BaseRepresentation
bin1101111110111…
…00110100101000
322011201021110000
412333130310220
5220011441144
615350023000
72623001040
oct677346450
9264637400
10117296424
11602355a3
1233347a60
131b3bb48b
1411814720
15a46e769
hex6fdcd28

117296424 has 160 divisors (see below), whose sum is σ = 395524800. Its totient is φ = 31726080.

The previous prime is 117296423. The next prime is 117296441. The reversal of 117296424 is 424692711.

It is a happy number.

117296424 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 9 + 642 + 4 = 666.

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

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (117296423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85504 + ... + 86864.

It is an arithmetic number, because the mean of its divisors is an integer number (2472030).

Almost surely, 2117296424 is an apocalyptic number.

117296424 is a gapful number since it is divisible by the number (14) 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 117296424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197762400).

117296424 is an abundant number, since it is smaller than the sum of its proper divisors (278228376).

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

117296424 is a wasteful number, since it uses less digits than its factorization.

117296424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1392 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 117296424 is about 10830.3473628504. The cubic root of 117296424 is about 489.5100252770.

The spelling of 117296424 in words is "one hundred seventeen million, two hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1361 1368 1512 1539 1596 2052 2268 2394 2722 3078 3192 3591 4083 4104 4536 4788 5444 6156 7182 8166 9527 9576 10773 10888 12249 12312 14364 16332 19054 21546 24498 25859 28581 28728 32664 36747 38108 43092 48996 51718 57162 73494 76216 77577 85743 86184 97992 103436 110241 114324 146988 155154 171486 181013 206872 220482 228648 232731 257229 293976 310308 342972 362026 440964 465462 514458 543039 620616 685944 698193 724052 771687 881928 930924 1028916 1086078 1396386 1448104 1543374 1629117 1861848 2057832 2094579 2172156 2792772 3086748 3258234 4189158 4344312 4887351 5585544 6173496 6516468 8378316 9774702 13032936 14662053 16756632 19549404 29324106 39098808 58648212 117296424