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117349360 = 24561139173
BaseRepresentation
bin1101111111010…
…01101111110000
322011210222001121
412333221233300
5220020134420
615351112024
72623311262
oct677515760
9264728047
10117349360
1160271347
1233372614
131b4095bb
1411829b32
15a4802aa
hex6fe9bf0

117349360 has 80 divisors (see below), whose sum is σ = 280919520. Its totient is φ = 45573120.

The previous prime is 117349343. The next prime is 117349369. The reversal of 117349360 is 63943711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117349369) 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, 678234 + ... + 678406.

It is an arithmetic number, because the mean of its divisors is an integer number (3511494).

Almost surely, 2117349360 is an apocalyptic number.

117349360 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 117349360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140459760).

117349360 is an abundant number, since it is smaller than the sum of its proper divisors (163570160).

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

117349360 is a wasteful number, since it uses less digits than its factorization.

117349360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 117349360 is about 10832.7909607820. The cubic root of 117349360 is about 489.5836529991.

The spelling of 117349360 in words is "one hundred seventeen million, three hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 139 173 244 278 305 346 488 556 610 692 695 865 976 1112 1220 1384 1390 1730 2224 2440 2768 2780 3460 4880 5560 6920 8479 10553 11120 13840 16958 21106 24047 33916 42212 42395 48094 52765 67832 84424 84790 96188 105530 120235 135664 168848 169580 192376 211060 240470 339160 384752 422120 480940 678320 844240 961880 1466867 1923760 2933734 5867468 7334335 11734936 14668670 23469872 29337340 58674680 117349360