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117148400 = 24522910099
BaseRepresentation
bin1101111101110…
…00101011110000
322011102202101122
412332320223300
5214442222100
615342521412
72621513345
oct676705360
9264382348
10117148400
1160144366
1233296268
131b368ca5
14117b67cc
15a440985
hex6fb8af0

117148400 has 60 divisors (see below), whose sum is σ = 291183000. Its totient is φ = 45239040.

The previous prime is 117148399. The next prime is 117148403. The reversal of 117148400 is 4841711.

It is a self number, because there is not a number n which added to its sum of digits gives 117148400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117148403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6551 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (4853050).

Almost surely, 2117148400 is an apocalyptic number.

117148400 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 117148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145591500).

117148400 is an abundant number, since it is smaller than the sum of its proper divisors (174034600).

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

117148400 is a wasteful number, since it uses less digits than its factorization.

117148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 117148400 is about 10823.5114449979. The cubic root of 117148400 is about 489.3040237320.

The spelling of 117148400 in words is "one hundred seventeen million, one hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 10099 11600 20198 40396 50495 80792 100990 161584 201980 252475 292871 403960 504950 585742 807920 1009900 1171484 1464355 2019800 2342968 2928710 4039600 4685936 5857420 7321775 11714840 14643550 23429680 29287100 58574200 117148400