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117148900 = 225211281379
BaseRepresentation
bin1101111101110…
…00110011100100
322011102210002011
412332320303210
5214442231100
615342524004
72621514661
oct676706344
9264383064
10117148900
1160144780
1233296604
131b36929b
14117b6a68
15a440bba
hex6fb8ce4

117148900 has 72 divisors (see below), whose sum is σ = 279044640. Its totient is φ = 42336000.

The previous prime is 117148891. The next prime is 117148903. The reversal of 117148900 is 9841711.

It is not an unprimeable number, because it can be changed into a prime (117148903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308911 + ... + 309289.

It is an arithmetic number, because the mean of its divisors is an integer number (3875620).

Almost surely, 2117148900 is an apocalyptic number.

117148900 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 117148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139522320).

117148900 is an abundant number, since it is smaller than the sum of its proper divisors (161895740).

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

117148900 is a wasteful number, since it uses less digits than its factorization.

117148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 117148900 is about 10823.5345428377. The cubic root of 117148900 is about 489.3047198623.

The spelling of 117148900 in words is "one hundred seventeen million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 281 379 550 562 758 1100 1124 1405 1516 1895 2810 3091 3790 4169 5620 6182 7025 7580 8338 9475 12364 14050 15455 16676 18950 20845 28100 30910 37900 41690 61820 77275 83380 104225 106499 154550 208450 212998 309100 416900 425996 532495 1064990 1171489 2129980 2342978 2662475 4685956 5324950 5857445 10649900 11714890 23429780 29287225 58574450 117148900