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103268464 = 24132181211
BaseRepresentation
bin1100010011111…
…00000001110000
321012022120200221
412021330001300
5202414042324
614125222424
72362524145
oct611740160
9235276627
10103268464
1153324142
122a701a14
1318519400
14da023cc
1590ed0e4
hex627c070

103268464 has 60 divisors (see below), whose sum is σ = 218887032. Its totient is φ = 47174400.

The previous prime is 103268441. The next prime is 103268491. The reversal of 103268464 is 464862301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489319 + ... + 489529.

Almost surely, 2103268464 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 103268464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109443516).

103268464 is an abundant number, since it is smaller than the sum of its proper divisors (115618568).

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

103268464 is a wasteful number, since it uses less digits than its factorization.

103268464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 103268464 is about 10162.1092298794. The cubic root of 103268464 is about 469.1617229064.

It can be divided in two parts, 1032 and 68464, that added together give a palindrome (69496).

The spelling of 103268464 in words is "one hundred three million, two hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 181 208 211 338 362 422 676 724 844 1352 1448 1688 2353 2704 2743 2896 3376 4706 5486 9412 10972 18824 21944 30589 35659 37648 38191 43888 61178 71318 76382 122356 142636 152764 244712 285272 305528 489424 496483 570544 611056 992966 1985932 3971864 6454279 7943728 12908558 25817116 51634232 103268464