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117691128 = 23323167787
BaseRepresentation
bin1110000001111…
…01001011111000
322012110022212200
413000331023320
5220112104003
615402310200
72626233552
oct700751370
9265408780
10117691128
11604850a5
12334b8360
131b4c9029
14118b84d2
15a4eb6a3
hex703d2f8

117691128 has 96 divisors (see below), whose sum is σ = 334364160. Its totient is φ = 37350720.

The previous prime is 117691127. The next prime is 117691141. The reversal of 117691128 is 821196711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117691092 and 117691101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117691121) 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, 149151 + ... + 149937.

It is an arithmetic number, because the mean of its divisors is an integer number (3482960).

Almost surely, 2117691128 is an apocalyptic number.

117691128 is a gapful number since it is divisible by the number (18) 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 117691128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167182080).

117691128 is an abundant number, since it is smaller than the sum of its proper divisors (216673032).

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

117691128 is a wasteful number, since it uses less digits than its factorization.

117691128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 117691128 is about 10848.5541893839. The cubic root of 117691128 is about 490.0584797620.

The spelling of 117691128 in words is "one hundred seventeen million, six hundred ninety-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 67 72 93 124 134 186 201 248 268 279 372 402 536 558 603 744 787 804 1116 1206 1574 1608 2077 2232 2361 2412 3148 4154 4722 4824 6231 6296 7083 8308 9444 12462 14166 16616 18693 18888 24397 24924 28332 37386 48794 49848 52729 56664 73191 74772 97588 105458 146382 149544 158187 195176 210916 219573 292764 316374 421832 439146 474561 585528 632748 878292 949122 1265496 1634599 1756584 1898244 3269198 3796488 4903797 6538396 9807594 13076792 14711391 19615188 29422782 39230376 58845564 117691128