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102740832 = 2533118913
BaseRepresentation
bin1100001111110…
…11001101100000
321011022202221000
412013323031200
5202300201312
614110032000
72355165645
oct607731540
9234282830
10102740832
1152aa3787
122a4a8600
13183931bc
14d905dcc
159046adc
hex61fb360

102740832 has 48 divisors (see below), whose sum is σ = 299663280. Its totient is φ = 34246656.

The previous prime is 102740779. The next prime is 102740837. The reversal of 102740832 is 238047201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102740796 and 102740805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102740837) 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, 58593 + ... + 60320.

It is an arithmetic number, because the mean of its divisors is an integer number (6242985).

Almost surely, 2102740832 is an apocalyptic number.

102740832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102740832 is an abundant number, since it is smaller than the sum of its proper divisors (196922448).

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

102740832 is a wasteful number, since it uses less digits than its factorization.

102740832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118932 (or 118918 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102740832 is about 10136.1152321785. The cubic root of 102740832 is about 468.3613251704.

The spelling of 102740832 in words is "one hundred two million, seven hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 118913 237826 356739 475652 713478 951304 1070217 1426956 1902608 2140434 2853912 3210651 3805216 4280868 5707824 6421302 8561736 11415648 12842604 17123472 25685208 34246944 51370416 102740832