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117016542 = 23317413109
BaseRepresentation
bin1101111100110…
…00011111011110
322011012001112000
412332120133132
5214424012132
615340023130
72620424046
oct676303736
9264161460
10117016542
1160064295
1233231aa6
131b320c76
1411780726
15a41687c
hex6f987de

117016542 has 64 divisors (see below), whose sum is σ = 282139200. Its totient is φ = 35804160.

The previous prime is 117016541. The next prime is 117016553. The reversal of 117016542 is 245610711.

It is a happy number.

117016542 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 1 + 654 + 2 = 666.

It is a super-2 number, since 2×1170165422 = 27385742203275528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117016541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36084 + ... + 39192.

It is an arithmetic number, because the mean of its divisors is an integer number (4408425).

Almost surely, 2117016542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117016542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141069600).

117016542 is an abundant number, since it is smaller than the sum of its proper divisors (165122658).

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

117016542 is a wasteful number, since it uses less digits than its factorization.

117016542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117016542 is about 10817.4184535868. The cubic root of 117016542 is about 489.1203738437.

The spelling of 117016542 in words is "one hundred seventeen million, sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 246 306 369 459 697 738 918 1107 1394 2091 2214 3109 4182 6218 6273 9327 12546 18654 18819 27981 37638 52853 55962 83943 105706 127469 158559 167886 254938 317118 382407 475677 764814 951354 1147221 1427031 2166973 2294442 2854062 3441663 4333946 6500919 6883326 13001838 19502757 39005514 58508271 117016542