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117268480 = 21357409
BaseRepresentation
bin1101111110101…
…10000000000000
322011122212010001
412333112000000
5220010042410
615345245344
72622523420
oct677260000
9264585101
10117268480
11602165aa
1233333854
131b3ab844
1411808480
15a46633a
hex6fd6000

117268480 has 112 divisors (see below), whose sum is σ = 322417440. Its totient is φ = 40108032.

The previous prime is 117268477. The next prime is 117268507. The reversal of 117268480 is 84862711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286516 + ... + 286924.

Almost surely, 2117268480 is an apocalyptic number.

117268480 is a gapful number since it is divisible by the number (10) 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 117268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161208720).

117268480 is an abundant number, since it is smaller than the sum of its proper divisors (205148960).

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

117268480 is an frugal number, since it uses more digits than its factorization.

117268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 117268480 is about 10829.0572073473. The cubic root of 117268480 is about 489.4711495407.

The spelling of 117268480 in words is "one hundred seventeen million, two hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 409 448 512 560 640 818 896 1024 1120 1280 1636 1792 2045 2048 2240 2560 2863 3272 3584 4090 4096 4480 5120 5726 6544 7168 8180 8192 8960 10240 11452 13088 14315 14336 16360 17920 20480 22904 26176 28630 28672 32720 35840 40960 45808 52352 57260 57344 65440 71680 91616 104704 114520 130880 143360 183232 209408 229040 261760 286720 366464 418816 458080 523520 732928 837632 916160 1047040 1465856 1675264 1832320 2094080 2931712 3350528 3664640 4188160 5863424 7329280 8376320 11726848 14658560 16752640 23453696 29317120 58634240 117268480