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117229392 = 24327196121
BaseRepresentation
bin1101111110011…
…00011101010000
322011120212111100
412333030131100
5220002320032
615344344400
72622301440
oct677143520
9264525440
10117229392
116019a1a5
1233315100
131b396b07
14117d8120
15a45997c
hex6fcc750

117229392 has 120 divisors (see below), whose sum is σ = 394746560. Its totient is φ = 31726080.

The previous prime is 117229379. The next prime is 117229417. The reversal of 117229392 is 293922711.

117229392 = 992 + 1002 + ... + 7062.

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 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, 16092 + ... + 22212.

Almost surely, 2117229392 is an apocalyptic number.

117229392 is a gapful number since it is divisible by the number (12) 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 117229392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197373280).

117229392 is an abundant number, since it is smaller than the sum of its proper divisors (277517168).

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

117229392 is a wasteful number, since it uses less digits than its factorization.

117229392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6152 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 117229392 is about 10827.2522830125. The cubic root of 117229392 is about 489.4167598916.

The spelling of 117229392 in words is "one hundred seventeen million, two hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6121 6384 9576 12242 18363 19152 24484 36726 42847 48968 55089 73452 85694 97936 110178 116299 128541 146904 171388 220356 232598 257082 293808 342776 348897 385623 440712 465196 514164 685552 697794 771246 814093 881424 930392 1028328 1046691 1395588 1542492 1628186 1860784 2056656 2093382 2442279 2791176 3084984 3256372 4186764 4884558 5582352 6169968 6512744 7326837 8373528 9769116 13025488 14653674 16747056 19538232 29307348 39076464 58614696 117229392