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113046516 = 22351197109
BaseRepresentation
bin1101011110011…
…11001111110100
321212201100200000
412233033033310
5212414442031
615114551300
72541610452
oct657171764
9255640600
10113046516
11588a2580
1231a38530
131a560c3b
14110299d2
159dd03e6
hex6bcf3f4

113046516 has 144 divisors (see below), whose sum is σ = 329609280. Its totient is φ = 33592320.

The previous prime is 113046503. The next prime is 113046539. The reversal of 113046516 is 615640311.

113046516 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 651 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113046516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037070 + ... + 1037178.

Almost surely, 2113046516 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 113046516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164804640).

113046516 is an abundant number, since it is smaller than the sum of its proper divisors (216562764).

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

113046516 is a wasteful number, since it uses less digits than its factorization.

113046516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113046516 is about 10632.3335162136. Note that the first 3 decimals coincide. The cubic root of 113046516 is about 483.5251415757.

Adding to 113046516 its reverse (615640311), we get a palindrome (728686827).

The spelling of 113046516 in words is "one hundred thirteen million, forty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 97 99 108 109 132 162 194 198 218 243 291 297 324 327 388 396 436 486 582 594 654 873 891 972 981 1067 1164 1188 1199 1308 1746 1782 1962 2134 2398 2619 2673 2943 3201 3492 3564 3597 3924 4268 4796 5238 5346 5886 6402 7194 7857 8829 9603 10476 10573 10692 10791 11772 12804 14388 15714 17658 19206 21146 21582 23571 26487 28809 31428 31719 32373 35316 38412 42292 43164 47142 52974 57618 63438 64746 86427 94284 95157 97119 105948 115236 116303 126876 129492 172854 190314 194238 232606 259281 285471 291357 345708 348909 380628 388476 465212 518562 570942 582714 697818 856413 1037124 1046727 1141884 1165428 1395636 1712826 2093454 2569239 3140181 3425652 4186908 5138478 6280362 9420543 10276956 12560724 18841086 28261629 37682172 56523258 113046516