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103939362 = 238892
BaseRepresentation
bin1100011000111…
…11110100100010
321020120200000000
412030133310202
5203102024422
614151440430
72401320132
oct614376442
9236520000
10103939362
11537421aa
122a986116
13186c28a7
14db38ac2
1591d1cac
hex631fd22

103939362 has 54 divisors (see below), whose sum is σ = 236508753. Its totient is φ = 34257168.

The previous prime is 103939357. The next prime is 103939379. The reversal of 103939362 is 263939301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92910321 + 11029041 = 9639^2 + 3321^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7209.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1167814 + ... + 1167902.

Almost surely, 2103939362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103939362

103939362 is an abundant number, since it is smaller than the sum of its proper divisors (132569391).

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

103939362 is an frugal number, since it uses more digits than its factorization.

103939362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 103939362 is about 10195.0655711476. The cubic root of 103939362 is about 470.1755221899.

It can be divided in two parts, 1039 and 39362, that added together give a square (40401 = 2012).

The spelling of 103939362 in words is "one hundred three million, nine hundred thirty-nine thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 729 801 1458 1602 2187 2403 4374 4806 6561 7209 7921 13122 14418 15842 21627 23763 43254 47526 64881 71289 129762 142578 194643 213867 389286 427734 583929 641601 1167858 1283202 1924803 3849606 5774409 11548818 17323227 34646454 51969681 103939362