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102730356 = 22343131013
BaseRepresentation
bin1100001111110…
…00101001110100
321011022020120000
412013320221310
5202244332411
614105511300
72355123261
oct607705164
9234266500
10102730356
1152a96923
122a4a2530
131838b4c1
14d902268
159043956
hex61f8a74

102730356 has 60 divisors (see below), whose sum is σ = 269681412. Its totient is φ = 34100352.

The previous prime is 102730343. The next prime is 102730361. The reversal of 102730356 is 653037201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 102333456 = 630^2 + 10116^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100906 + ... + 101918.

Almost surely, 2102730356 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 102730356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840706).

102730356 is an abundant number, since it is smaller than the sum of its proper divisors (166951056).

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

102730356 is a wasteful number, since it uses less digits than its factorization.

102730356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 102730356 is about 10135.5984529775. The cubic root of 102730356 is about 468.3454057613.

Adding to 102730356 its reverse (653037201), we get a palindrome (755767557).

The spelling of 102730356 in words is "one hundred two million, seven hundred thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 313 324 626 939 1013 1252 1878 2026 2817 3039 3756 4052 5634 6078 8451 9117 11268 12156 16902 18234 25353 27351 33804 36468 50706 54702 82053 101412 109404 164106 317069 328212 634138 951207 1268276 1902414 2853621 3804828 5707242 8560863 11414484 17121726 25682589 34243452 51365178 102730356