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103132620 = 223252812039
BaseRepresentation
bin1100010010110…
…10110111001100
321012001200100200
412021122313030
5202400220440
614122253500
72361420123
oct611326714
9235050320
10103132620
1153241078
122a657290
131849c626
14d9a8aba
1590c2c30
hex625adcc

103132620 has 72 divisors (see below), whose sum is σ = 314102880. Its totient is φ = 27390720.

The previous prime is 103132609. The next prime is 103132643. The reversal of 103132620 is 26231301.

103132620 is a `hidden beast` number, since 10 + 3 + 1 + 32 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103132593 and 103132602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49561 + ... + 51599.

It is an arithmetic number, because the mean of its divisors is an integer number (4362540).

Almost surely, 2103132620 is an apocalyptic number.

103132620 is a gapful number since it is divisible by the number (10) 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 103132620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157051440).

103132620 is an abundant number, since it is smaller than the sum of its proper divisors (210970260).

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

103132620 is a wasteful number, since it uses less digits than its factorization.

103132620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103132620 is about 10155.4231817291. The cubic root of 103132620 is about 468.9559137990.

Adding to 103132620 its reverse (26231301), we get a palindrome (129363921).

The spelling of 103132620 in words is "one hundred three million, one hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2039 2529 2810 3372 4078 4215 5058 5620 6117 8156 8430 10116 10195 12234 12645 16860 18351 20390 24468 25290 30585 36702 40780 50580 61170 73404 91755 122340 183510 367020 572959 1145918 1718877 2291836 2864795 3437754 5156631 5729590 6875508 8594385 10313262 11459180 17188770 20626524 25783155 34377540 51566310 103132620