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117148480 = 265418929
BaseRepresentation
bin1101111101110…
…00101101000000
322011102202111121
412332320231000
5214442222410
615342522024
72621513521
oct676705500
9264382447
10117148480
1160144429
1233296314
131b369037
14117b6848
15a4409da
hex6fb8b40

117148480 has 56 divisors (see below), whose sum is σ = 285795720. Its totient is φ = 45711360.

The previous prime is 117148457. The next prime is 117148489. The reversal of 117148480 is 84841711.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 109662784 = 2736^2 + 10472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117148489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8656 + ... + 17584.

It is an arithmetic number, because the mean of its divisors is an integer number (5103495).

Almost surely, 2117148480 is an apocalyptic number.

117148480 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 117148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142897860).

117148480 is an abundant number, since it is smaller than the sum of its proper divisors (168647240).

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

117148480 is an equidigital number, since it uses as much as digits as its factorization.

117148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 117148480 is about 10823.5151406556. The cubic root of 117148480 is about 489.3041351130.

The spelling of 117148480 in words is "one hundred seventeen million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 8929 13120 17858 35716 44645 71432 89290 142864 178580 285728 357160 366089 571456 714320 732178 1428640 1464356 1830445 2857280 2928712 3660890 5857424 7321780 11714848 14643560 23429696 29287120 58574240 117148480