Search a number
-
+
117258480 = 24325162859
BaseRepresentation
bin1101111110100…
…11100011110000
322011122100101200
412333103203300
5220004232410
615345131200
72622452313
oct677234360
9264570350
10117258480
116020a039
1233329b00
131b3a7121
141180497a
15a4633c0
hex6fd38f0

117258480 has 60 divisors (see below), whose sum is σ = 393795480. Its totient is φ = 31268736.

The previous prime is 117258473. The next prime is 117258511. The reversal of 117258480 is 84852711.

117258480 is a `hidden beast` number, since 1 + 1 + 72 + 584 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1172584802 = 27499102263820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80710 + ... + 82149.

It is an arithmetic number, because the mean of its divisors is an integer number (6563258).

Almost surely, 2117258480 is an apocalyptic number.

117258480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117258480 is an abundant number, since it is smaller than the sum of its proper divisors (276537000).

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

117258480 is a wasteful number, since it uses less digits than its factorization.

117258480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162878 (or 162869 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 117258480 is about 10828.5954767920. The cubic root of 117258480 is about 489.4572360247.

The spelling of 117258480 in words is "one hundred seventeen million, two hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 162859 325718 488577 651436 814295 977154 1302872 1465731 1628590 1954308 2442885 2605744 2931462 3257180 3908616 4885770 5862924 6514360 7328655 7817232 9771540 11725848 13028720 14657310 19543080 23451696 29314620 39086160 58629240 117258480