Search a number
-
+
99000630 = 2355131311
BaseRepresentation
bin1011110011010…
…10000100110110
320220021202100000
411321222010312
5200321010010
613453532130
72311330401
oct571520466
9226252300
1099000630
1150979703
12291a4046
1317683971
14d210d38
158a587c0
hex5e6a136

99000630 has 96 divisors (see below), whose sum is σ = 269837568. Its totient is φ = 26114400.

The previous prime is 99000619. The next prime is 99000647. The reversal of 99000630 is 3600099.

It is a super-2 number, since 2×990006302 = 19602249480793800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 99000594 and 99000603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318175 + ... + 318485.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

Almost surely, 299000630 is an apocalyptic number.

99000630 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 99000630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134918784).

99000630 is an abundant number, since it is smaller than the sum of its proper divisors (170836938).

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

99000630 is a wasteful number, since it uses less digits than its factorization.

99000630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

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

The square root of 99000630 is about 9949.9060297070. The cubic root of 99000630 is about 462.6074822027.

The spelling of 99000630 in words is "ninety-nine million, six hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 243 262 270 311 393 405 486 622 655 786 810 933 1179 1215 1310 1555 1866 1965 2358 2430 2799 3110 3537 3930 4665 5598 5895 7074 8397 9330 10611 11790 13995 16794 17685 21222 25191 27990 31833 35370 40741 41985 50382 53055 63666 75573 81482 83970 106110 122223 125955 151146 159165 203705 244446 251910 318330 366669 377865 407410 611115 733338 755730 1100007 1222230 1833345 2200014 3300021 3666690 5500035 6600042 9900063 11000070 16500105 19800126 33000210 49500315 99000630