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150430200 = 23352409613
BaseRepresentation
bin10001111011101…
…10000111111000
3101111001122102220
420331312013320
5302002231300
622532124040
73504431004
oct1075660770
9344048386
10150430200
1177a06488
1242466620
132521c96b
1415d9b704
15d316da0
hex8f761f8

150430200 has 96 divisors (see below), whose sum is σ = 468236400. Its totient is φ = 39951360.

The previous prime is 150430199. The next prime is 150430243. The reversal of 150430200 is 2034051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150430200.

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, 245094 + ... + 245706.

Almost surely, 2150430200 is an apocalyptic number.

150430200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234118200).

150430200 is an abundant number, since it is smaller than the sum of its proper divisors (317806200).

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

150430200 is a wasteful number, since it uses less digits than its factorization.

150430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 150430200 is about 12264.9989808397. The cubic root of 150430200 is about 531.8367505587.

Adding to 150430200 its reverse (2034051), we get a palindrome (152464251).

The spelling of 150430200 in words is "one hundred fifty million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 409 600 613 818 1226 1227 1636 1839 2045 2452 2454 3065 3272 3678 4090 4904 4908 6130 6135 7356 8180 9195 9816 10225 12260 12270 14712 15325 16360 18390 20450 24520 24540 30650 30675 36780 40900 45975 49080 61300 61350 73560 81800 91950 122600 122700 183900 245400 250717 367800 501434 752151 1002868 1253585 1504302 2005736 2507170 3008604 3760755 5014340 6017208 6267925 7521510 10028680 12535850 15043020 18803775 25071700 30086040 37607550 50143400 75215100 150430200