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117430272 = 2113223277
BaseRepresentation
bin1101111111111…
…01100000000000
322011222002001100
412333331200000
5220030232042
615352534400
72624066211
oct677754000
9264862040
10117430272
1160317113
12333b1400
131b43738b
141184b408
15a49924c
hex6ffd800

117430272 has 144 divisors (see below), whose sum is σ = 355183920. Its totient is φ = 37306368.

The previous prime is 117430259. The next prime is 117430277. The reversal of 117430272 is 272034711.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117430277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423798 + ... + 424074.

It is an arithmetic number, because the mean of its divisors is an integer number (2466555).

Almost surely, 2117430272 is an apocalyptic number.

117430272 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 117430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177591960).

117430272 is an abundant number, since it is smaller than the sum of its proper divisors (237753648).

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

117430272 is a wasteful number, since it uses less digits than its factorization.

117430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117430272 is about 10836.5249042301. The cubic root of 117430272 is about 489.6961492571.

Adding to 117430272 its reverse (272034711), we get a palindrome (389464983).

The spelling of 117430272 in words is "one hundred seventeen million, four hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 277 288 368 384 414 512 552 554 576 736 768 828 831 1024 1104 1108 1152 1472 1536 1656 1662 2048 2208 2216 2304 2493 2944 3072 3312 3324 4416 4432 4608 4986 5888 6144 6371 6624 6648 8832 8864 9216 9972 11776 12742 13248 13296 17664 17728 18432 19113 19944 23552 25484 26496 26592 35328 35456 38226 39888 47104 50968 52992 53184 57339 70656 70912 76452 79776 101936 105984 106368 114678 141312 141824 152904 159552 203872 211968 212736 229356 283648 305808 319104 407744 423936 425472 458712 567296 611616 638208 815488 850944 917424 1223232 1276416 1630976 1701888 1834848 2446464 2552832 3261952 3669696 4892928 5105664 6523904 7339392 9785856 13047808 14678784 19571712 29357568 39143424 58715136 117430272