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117623424 = 2733141241
BaseRepresentation
bin1110000001011…
…00101010000000
322012022220000010
413000230222000
5220102422144
615401024520
72625532302
oct700545200
9265286003
10117623424
1160439246
1233485140
131b4a4279
141189b972
15a4d65b9
hex702ca80

117623424 has 128 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 36864000.

The previous prime is 117623423. The next prime is 117623453. The reversal of 117623424 is 424326711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 117623391 and 117623400.

It is not an unprimeable number, because it can be changed into a prime (117623423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487944 + ... + 488184.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2117623424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117623424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

117623424 is an abundant number, since it is smaller than the sum of its proper divisors (214129536).

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

117623424 is a wasteful number, since it uses less digits than its factorization.

117623424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 117623424 is about 10845.4333246763. The cubic root of 117623424 is about 489.9644899992.

The spelling of 117623424 in words is "one hundred seventeen million, six hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 241 246 248 328 372 384 482 492 496 656 723 744 964 984 992 1271 1312 1446 1488 1928 1968 1984 2542 2624 2892 2976 3813 3856 3936 3968 5084 5248 5784 5952 7471 7626 7712 7872 9881 10168 11568 11904 14942 15252 15424 15744 19762 20336 22413 23136 29643 29884 30504 30848 39524 40672 44826 46272 59286 59768 61008 79048 81344 89652 92544 118572 119536 122016 158096 162688 179304 237144 239072 244032 306311 316192 358608 474288 478144 488064 612622 632384 717216 918933 948576 956288 1225244 1264768 1434432 1837866 1897152 2450488 2868864 3675732 3794304 4900976 7351464 9801952 14702928 19603904 29405856 39207808 58811712 117623424