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106494288 = 2433761983
BaseRepresentation
bin1100101100011…
…11100101010000
321102101110200220
412112033211100
5204230304123
614322313040
72432120655
oct626174520
9242343626
10106494288
115512780a
122b7b8780
13190a8794
1410201c2c
159538ce3
hex658f950

106494288 has 80 divisors (see below), whose sum is σ = 287469696. Its totient is φ = 33937920.

The previous prime is 106494287. The next prime is 106494317. The reversal of 106494288 is 882494601.

It is a super-2 number, since 2×1064942882 = 22682066753253888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106494287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107845 + ... + 108827.

Almost surely, 2106494288 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 106494288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143734848).

106494288 is an abundant number, since it is smaller than the sum of its proper divisors (180975408).

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

106494288 is a wasteful number, since it uses less digits than its factorization.

106494288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 106494288 is about 10319.6069692600. The cubic root of 106494288 is about 473.9968309710.

The spelling of 106494288 in words is "one hundred six million, four hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 61 74 111 122 148 183 222 244 296 366 444 488 592 732 888 976 983 1464 1776 1966 2257 2928 2949 3932 4514 5898 6771 7864 9028 11796 13542 15728 18056 23592 27084 36112 36371 47184 54168 59963 72742 108336 109113 119926 145484 179889 218226 239852 290968 359778 436452 479704 581936 719556 872904 959408 1439112 1745808 2218631 2878224 4437262 6655893 8874524 13311786 17749048 26623572 35498096 53247144 106494288