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93630 = 2353121
BaseRepresentation
bin10110110110111110
311202102210
4112312332
510444010
62001250
7536655
oct266676
9152383
1093630
1164389
1246226
1333804
142619c
151cb20
hex16dbe

93630 has 16 divisors (see below), whose sum is σ = 224784. Its totient is φ = 24960.

The previous prime is 93629. The next prime is 93637. The reversal of 93630 is 3639.

It is a junction number, because it is equal to n+sod(n) for n = 93597 and 93606.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93630.

It is not an unprimeable number, because it can be changed into a prime (93637) 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, 1531 + ... + 1590.

It is an arithmetic number, because the mean of its divisors is an integer number (14049).

293630 is an apocalyptic number.

93630 is an abundant number, since it is smaller than the sum of its proper divisors (131154).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112392).

93630 is a wasteful number, since it uses less digits than its factorization.

93630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 93630 is about 305.9901959214. The cubic root of 93630 is about 45.4086239253.

The spelling of 93630 in words is "ninety-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3121 6242 9363 15605 18726 31210 46815 93630