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117161400 = 23352316299
BaseRepresentation
bin1101111101110…
…11110110111000
322011110102020010
412332323312320
5214443131100
615343101520
72621566266
oct676736670
9264412203
10117161400
1160153104
12332a18a0
131b371b95
14117bb436
15a444750
hex6fbbdb8

117161400 has 96 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 30230400.

The previous prime is 117161393. The next prime is 117161411. The reversal of 117161400 is 4161711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15451 + ... + 21749.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2117161400 is an apocalyptic number.

117161400 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 117161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

117161400 is an abundant number, since it is smaller than the sum of its proper divisors (257814600).

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

117161400 is a wasteful number, since it uses less digits than its factorization.

117161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 117161400 is about 10824.1119728133. Note that the first 3 decimals coincide. The cubic root of 117161400 is about 489.3221224769.

The spelling of 117161400 in words is "one hundred seventeen million, one hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 6299 9300 12598 18600 18897 25196 31495 37794 50392 62990 75588 94485 125980 151176 157475 188970 195269 251960 314950 377940 390538 472425 585807 629900 755880 781076 944850 976345 1171614 1259800 1562152 1889700 1952690 2343228 2929035 3779400 3905380 4686456 4881725 5858070 7810760 9763450 11716140 14645175 19526900 23432280 29290350 39053800 58580700 117161400