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117719168 = 27721372
BaseRepresentation
bin1110000010001…
…00000010000000
322012111202100012
413001010002000
5220114003133
615403044052
72626411400
oct701040200
9265452305
10117719168
11604a4176
1233510628
131b508a18
14118c4800
15a504b48
hex7044080

117719168 has 72 divisors (see below), whose sum is σ = 274813245. Its totient is φ = 50082816.

The previous prime is 117719137. The next prime is 117719177. The reversal of 117719168 is 861917711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 116812864 + 906304 = 10808^2 + 952^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7672.

It is a super-2 number, since 2×1177191682 = 27715605029224448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 859196 + ... + 859332.

Almost surely, 2117719168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117719168

117719168 is an abundant number, since it is smaller than the sum of its proper divisors (157094077).

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

117719168 is an frugal number, since it uses more digits than its factorization.

117719168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 146 counting only the distinct ones).

The product of its digits is 21168, while the sum is 41.

The square root of 117719168 is about 10849.8464505264. The cubic root of 117719168 is about 490.0973956057.

The spelling of 117719168 in words is "one hundred seventeen million, seven hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 137 196 224 274 392 448 548 784 896 959 1096 1568 1918 2192 3136 3836 4384 6272 6713 7672 8768 13426 15344 17536 18769 26852 30688 37538 53704 61376 75076 107408 122752 131383 150152 214816 262766 300304 429632 525532 600608 859264 919681 1051064 1201216 1839362 2102128 2402432 3678724 4204256 7357448 8408512 14714896 16817024 29429792 58859584 117719168