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105240336 = 24317128971
BaseRepresentation
bin1100100010111…
…01011100010000
321100000202121020
412101131130100
5203420142321
614235355440
72415346065
oct621353420
9240022536
10105240336
1154450693
122b2b2b80
1318a59ab6
14dd96c6c
15938c4c6
hex645d710

105240336 has 40 divisors (see below), whose sum is σ = 287865504. Its totient is φ = 33016320.

The previous prime is 105240313. The next prime is 105240337. The reversal of 105240336 is 633042501.

It is a happy number.

It is a super-2 number, since 2×1052403362 = 22151056642785792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105240337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63670 + ... + 65301.

Almost surely, 2105240336 is an apocalyptic number.

105240336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105240336 is an abundant number, since it is smaller than the sum of its proper divisors (182625168).

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

105240336 is a wasteful number, since it uses less digits than its factorization.

105240336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128999 (or 128993 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 105240336 is about 10258.6712589887. The cubic root of 105240336 is about 472.1290703230.

Adding to 105240336 its reverse (633042501), we get a palindrome (738282837).

The spelling of 105240336 in words is "one hundred five million, two hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 128971 257942 386913 515884 773826 1031768 1547652 2063536 2192507 3095304 4385014 6190608 6577521 8770028 13155042 17540056 26310084 35080112 52620168 105240336