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102536028 = 223272371571
BaseRepresentation
bin1100001110010…
…01001101011100
321010221100222200
412013021031130
5202222123103
614101411500
72353353600
oct607111534
9233840880
10102536028
1152973921
122a409b90
1318320c0a
14d891500
1590060a3
hex61c935c

102536028 has 108 divisors (see below), whose sum is σ = 309850632. Its totient is φ = 28486080.

The previous prime is 102536023. The next prime is 102536029. The reversal of 102536028 is 820635201.

102536028 is a `hidden beast` number, since 1 + 0 + 2 + 53 + 602 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102535992 and 102536010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102536023) 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 35 ways as a sum of consecutive naturals, for example, 64483 + ... + 66053.

Almost surely, 2102536028 is an apocalyptic number.

102536028 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 102536028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154925316).

102536028 is an abundant number, since it is smaller than the sum of its proper divisors (207314604).

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

102536028 is a wasteful number, since it uses less digits than its factorization.

102536028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102536028 is about 10126.0075054288. The cubic root of 102536028 is about 468.0499070162.

It can be divided in two parts, 102 and 536028, that added together give a triangular number (536130 = T1035).

The spelling of 102536028 in words is "one hundred two million, five hundred thirty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1554 1571 1764 1813 2331 3108 3142 3626 4662 4713 5439 6284 7252 9324 9426 10878 10997 14139 16317 18852 21756 21994 28278 32634 32991 43988 56556 58127 65268 65982 76979 98973 116254 131964 153958 174381 197946 230937 232508 307916 348762 395892 406889 461874 523143 692811 697524 813778 923748 1046286 1220667 1385622 1627556 2092572 2441334 2771244 2848223 3662001 4882668 5696446 7324002 8544669 11392892 14648004 17089338 25634007 34178676 51268014 102536028