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30286900 = 225273883
BaseRepresentation
bin111001110001…
…0010000110100
32002222201211001
41303202100310
530223140100
63001053044
7515302000
oct163422064
962881731
1030286900
1116106aa6
12a187184
136375757
144045700
1529d3d6a
hex1ce2434

30286900 has 72 divisors (see below), whose sum is σ = 76731200. Its totient is φ = 10372320.

The previous prime is 30286891. The next prime is 30286939. The reversal of 30286900 is 968203.

It is a super-2 number, since 2×302869002 = 1834592623220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33859 + ... + 34741.

Almost surely, 230286900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30286900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365600).

30286900 is an abundant number, since it is smaller than the sum of its proper divisors (46444300).

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

30286900 is a wasteful number, since it uses less digits than its factorization.

30286900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 30286900 is about 5503.3535230803. The cubic root of 30286900 is about 311.7106263914.

The spelling of 30286900 in words is "thirty million, two hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 883 980 1225 1372 1715 1766 2450 3430 3532 4415 4900 6181 6860 8575 8830 12362 17150 17660 22075 24724 30905 34300 43267 44150 61810 86534 88300 123620 154525 173068 216335 302869 309050 432670 605738 618100 865340 1081675 1211476 1514345 2163350 3028690 4326700 6057380 7571725 15143450 30286900