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117003640 = 235132231009
BaseRepresentation
bin1101111100101…
…01010101111000
322011011101211011
412332111111320
5214423104030
615335443304
72620341325
oct676252570
9264141734
10117003640
1160055626
1233226534
131b318130
1411779b4c
15a412b2a
hex6f95578

117003640 has 64 divisors (see below), whose sum is σ = 285062400. Its totient is φ = 42964992.

The previous prime is 117003629. The next prime is 117003643. The reversal of 117003640 is 46300711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117003643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115456 + ... + 116464.

It is an arithmetic number, because the mean of its divisors is an integer number (4454100).

Almost surely, 2117003640 is an apocalyptic number.

117003640 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 117003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142531200).

117003640 is an abundant number, since it is smaller than the sum of its proper divisors (168058760).

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

117003640 is a wasteful number, since it uses less digits than its factorization.

117003640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 117003640 is about 10816.8220841428. The cubic root of 117003640 is about 489.1023967187.

The spelling of 117003640 in words is "one hundred seventeen million, three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1009 1115 1784 2018 2230 2899 4036 4460 5045 5798 8072 8920 10090 11596 13117 14495 20180 23192 26234 28990 40360 52468 57980 65585 104936 115960 131170 225007 262340 450014 524680 900028 1125035 1800056 2250070 2925091 4500140 5850182 9000280 11700364 14625455 23400728 29250910 58501820 117003640