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99630 = 235541
BaseRepresentation
bin11000010100101110
312001200000
4120110232
511142010
62045130
7563316
oct302456
9161600
1099630
1168943
12497a6
133646b
1428446
151e7c0
hex1852e

99630 has 48 divisors (see below), whose sum is σ = 275184. Its totient is φ = 25920.

The previous prime is 99623. The next prime is 99643. The reversal of 99630 is 3699.

It can be divided in two parts, 99 and 630, that added together give a 6-th power (729 = 36).

It is a super-2 number, since 2×996302 = 19852273800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99594 and 99603.

It is a congruent number.

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, 2410 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

299630 is an apocalyptic number.

99630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

99630 is an abundant number, since it is smaller than the sum of its proper divisors (175554).

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

99630 is a wasteful number, since it uses less digits than its factorization.

99630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 99630 is about 315.6422025015. The cubic root of 99630 is about 46.3585713246.

The spelling of 99630 in words is "ninety-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 738 810 1107 1215 1230 1845 2214 2430 3321 3690 5535 6642 9963 11070 16605 19926 33210 49815 99630