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117513400 = 23523671601
BaseRepresentation
bin1110000000100…
…01110010111000
322012010022002011
413000101302320
5220040412100
615354415304
72624563444
oct700216270
9265108064
10117513400
1160373614
1233431534
131b466174
141186d824
15a4b3bba
hex7011cb8

117513400 has 48 divisors (see below), whose sum is σ = 274134240. Its totient is φ = 46848000.

The previous prime is 117513373. The next prime is 117513413. The reversal of 117513400 is 4315711.

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 11 ways as a sum of consecutive naturals, for example, 72600 + ... + 74200.

It is an arithmetic number, because the mean of its divisors is an integer number (5711130).

Almost surely, 2117513400 is an apocalyptic number.

117513400 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 117513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137067120).

117513400 is an abundant number, since it is smaller than the sum of its proper divisors (156620840).

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

117513400 is a wasteful number, since it uses less digits than its factorization.

117513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 117513400 is about 10840.3597726275. The cubic root of 117513400 is about 489.8116727335.

It can be divided in two parts, 11751 and 3400, that added together give a palindrome (15151).

The spelling of 117513400 in words is "one hundred seventeen million, five hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 734 1468 1601 1835 2936 3202 3670 6404 7340 8005 9175 12808 14680 16010 18350 32020 36700 40025 64040 73400 80050 160100 320200 587567 1175134 2350268 2937835 4700536 5875670 11751340 14689175 23502680 29378350 58756700 117513400