Search a number
-
+
117321400 = 23527471783
BaseRepresentation
bin1101111111000…
…10111010111000
322011202112201001
412333202322320
5220013241100
615350334344
72623133620
oct677427270
9264675631
10117321400
1160252339
123335a3b4
131b3c9961
141181d880
15a476d6a
hex6fe2eb8

117321400 has 96 divisors (see below), whose sum is σ = 318551040. Its totient is φ = 39346560.

The previous prime is 117321331. The next prime is 117321427. The reversal of 117321400 is 4123711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64909 + ... + 66691.

It is an arithmetic number, because the mean of its divisors is an integer number (3318240).

Almost surely, 2117321400 is an apocalyptic number.

117321400 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 117321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159275520).

117321400 is an abundant number, since it is smaller than the sum of its proper divisors (201229640).

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

117321400 is a wasteful number, since it uses less digits than its factorization.

117321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 117321400 is about 10831.5003577528. The cubic root of 117321400 is about 489.5447667020.

The spelling of 117321400 in words is "one hundred seventeen million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 175 188 200 235 280 329 350 376 470 658 700 940 1175 1316 1400 1645 1783 1880 2350 2632 3290 3566 4700 6580 7132 8225 8915 9400 12481 13160 14264 16450 17830 24962 32900 35660 44575 49924 62405 65800 71320 83801 89150 99848 124810 167602 178300 249620 312025 335204 356600 419005 499240 586607 624050 670408 838010 1173214 1248100 1676020 2095025 2346428 2496200 2933035 3352040 4190050 4692856 5866070 8380100 11732140 14665175 16760200 23464280 29330350 58660700 117321400