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102720224 = 2579179227
BaseRepresentation
bin1100001111101…
…10001011100000
321011021201122202
412013312023200
5202244021344
614105352332
72355051605
oct607661340
9234251582
10102720224
1152a8a252
122a4986a8
13183869c9
14d8dc6ac
15904094e
hex61f62e0

102720224 has 48 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 50204544.

The previous prime is 102720221. The next prime is 102720229. The reversal of 102720224 is 422027201.

It is a happy number.

It is a super-2 number, since 2×1027202242 = 21102888837220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102720196 and 102720205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102720221) 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 7 ways as a sum of consecutive naturals, for example, 452399 + ... + 452625.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2102720224 is an apocalyptic number.

It is an amenable number.

102720224 is an abundant number, since it is smaller than the sum of its proper divisors (104121376).

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

102720224 is a wasteful number, since it uses less digits than its factorization.

102720224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 102720224 is about 10135.0986181684. The cubic root of 102720224 is about 468.3300080676.

Adding to 102720224 its reverse (422027201), we get a palindrome (524747425).

The spelling of 102720224 in words is "one hundred two million, seven hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 79 158 179 227 316 358 454 632 716 908 1264 1432 1816 2528 2864 3632 5728 7264 14141 17933 28282 35866 40633 56564 71732 81266 113128 143464 162532 226256 286928 325064 452512 573856 650128 1300256 3210007 6420014 12840028 25680056 51360112 102720224