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450090030 = 235134326839
BaseRepresentation
bin11010110100111…
…101010000101110
31011100220221110010
4122310331100232
51410210340110
6112354554050
714103462555
oct3264752056
91140827403
10450090030
11211078335
12106898926
137232b980
1443ac2d9c
15297aa020
hex1ad3d42e

450090030 has 64 divisors (see below), whose sum is σ = 1190407680. Its totient is φ = 108210816.

The previous prime is 450090029. The next prime is 450090049. The reversal of 450090030 is 30090054.

It is a junction number, because it is equal to n+sod(n) for n = 450089979 and 450090006.

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, 3351 + ... + 30189.

It is an arithmetic number, because the mean of its divisors is an integer number (18600120).

Almost surely, 2450090030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450090030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595203840).

450090030 is an abundant number, since it is smaller than the sum of its proper divisors (740317650).

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

450090030 is a wasteful number, since it uses less digits than its factorization.

450090030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26905.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 450090030 is about 21215.3253569206. The cubic root of 450090030 is about 766.3605333104.

The spelling of 450090030 in words is "four hundred fifty million, ninety thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 2795 3354 5590 8385 16770 26839 53678 80517 134195 161034 268390 348907 402585 697814 805170 1046721 1154077 1744535 2093442 2308154 3462231 3489070 5233605 5770385 6924462 10467210 11540770 15003001 17311155 30006002 34622310 45009003 75015005 90018006 150030010 225045015 450090030