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113146488 = 233272132467
BaseRepresentation
bin1101011111001…
…11101001111000
321212220102210200
412233213221320
5212431141423
615121042200
72542505100
oct657475170
9255812720
10113146488
11589606a4
1231a86360
131a5975b0
1411054200
159deed43
hex6be7a78

113146488 has 144 divisors (see below), whose sum is σ = 384045480. Its totient is φ = 29828736.

The previous prime is 113146471. The next prime is 113146529. The reversal of 113146488 is 884641311.

It is a happy number.

113146488 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 648 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44631 + ... + 47097.

Almost surely, 2113146488 is an apocalyptic number.

113146488 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 113146488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192022740).

113146488 is an abundant number, since it is smaller than the sum of its proper divisors (270898992).

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

113146488 is a wasteful number, since it uses less digits than its factorization.

113146488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2492 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 113146488 is about 10637.0337970696. The cubic root of 113146488 is about 483.6676337542.

Adding to 113146488 its reverse (884641311), we get a palindrome (997787799).

The spelling of 113146488 in words is "one hundred thirteen million, one hundred forty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2467 2548 3276 3528 3822 4934 5096 5733 6552 7401 7644 9868 11466 14802 15288 17269 19736 22203 22932 29604 32071 34538 44406 45864 51807 59208 64142 69076 88812 96213 103614 120883 128284 138152 155421 177624 192426 207228 224497 241766 256568 288639 310842 362649 384852 414456 448994 483532 577278 621684 673491 725298 769704 897988 967064 1087947 1154556 1243368 1346982 1450596 1571479 1795976 2020473 2175894 2309112 2693964 2901192 3142958 4040946 4351788 4714437 5387928 6285916 8081892 8703576 9428874 12571832 14143311 16163784 18857748 28286622 37715496 56573244 113146488