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9993630 = 2354361127
BaseRepresentation
bin100110000111…
…110110011110
3200210201200110
4212013312132
510024244010
6554110450
7150641643
oct46076636
920721613
109993630
1157063a9
12341b426
1320bb9ba
141481dca
15d26120
hex987d9e

9993630 has 64 divisors (see below), whose sum is σ = 25141248. Its totient is φ = 2540160.

The previous prime is 9993629. The next prime is 9993649. The reversal of 9993630 is 363999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78627 + ... + 78753.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 29993630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570624).

9993630 is an abundant number, since it is smaller than the sum of its proper divisors (15147618).

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

9993630 is a wasteful number, since it uses less digits than its factorization.

9993630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 39366, while the sum is 39.

The square root of 9993630 is about 3161.2703142882. The cubic root of 9993630 is about 215.3977134565.

The spelling of 9993630 in words is "nine million, nine hundred ninety-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 61 86 122 127 129 183 215 254 258 305 366 381 430 610 635 645 762 915 1270 1290 1830 1905 2623 3810 5246 5461 7747 7869 10922 13115 15494 15738 16383 23241 26230 27305 32766 38735 39345 46482 54610 77470 78690 81915 116205 163830 232410 333121 666242 999363 1665605 1998726 3331210 4996815 9993630