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117258720 = 25351911279
BaseRepresentation
bin1101111110100…
…11100111100000
322011122100201120
412333103213200
5220004234340
615345132240
72622453105
oct677234740
9264570646
10117258720
116020a237
123332a080
131b3a7277
1411804aac
15a4634d0
hex6fd39e0

117258720 has 96 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 31080960.

The previous prime is 117258697. The next prime is 117258733. The reversal of 117258720 is 27852711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91041 + ... + 92319.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2117258720 is an apocalyptic number.

117258720 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 117258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

117258720 is an abundant number, since it is smaller than the sum of its proper divisors (254330400).

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

117258720 is a wasteful number, since it uses less digits than its factorization.

117258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 117258720 is about 10828.6065585559. The cubic root of 117258720 is about 489.4575699583.

The spelling of 117258720 in words is "one hundred seventeen million, two hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1279 1528 1910 2292 2558 2865 3056 3820 3837 4584 5116 5730 6112 6395 7640 7674 9168 10232 11460 12790 15280 15348 18336 19185 20464 22920 25580 30560 30696 38370 40928 45840 51160 61392 76740 91680 102320 122784 153480 204640 244289 306960 488578 613920 732867 977156 1221445 1465734 1954312 2442890 2931468 3664335 3908624 4885780 5862936 7328670 7817248 9771560 11725872 14657340 19543120 23451744 29314680 39086240 58629360 117258720