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153030000 = 243545101
BaseRepresentation
bin10010001111100…
…00110101110000
3101122221201200210
421013300311300
5303133430000
623103544120
73535506414
oct1107606560
9348851623
10153030000
1179421782
12432bb040
13259200c6
1416476d44
15d67c350
hex91f0d70

153030000 has 100 divisors (see below), whose sum is σ = 494098088. Its totient is φ = 40800000.

The previous prime is 153029963. The next prime is 153030001. The reversal of 153030000 is 30351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153030001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27450 + ... + 32550.

Almost surely, 2153030000 is an apocalyptic number.

153030000 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 153030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247049044).

153030000 is an abundant number, since it is smaller than the sum of its proper divisors (341068088).

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

153030000 is an equidigital number, since it uses as much as digits as its factorization.

153030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 153030000 is about 12370.5294955390. The cubic root of 153030000 is about 534.8830792331.

Adding to 153030000 its reverse (30351), we get a palindrome (153060351).

The spelling of 153030000 in words is "one hundred fifty-three million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 5101 6000 7500 10000 10202 15000 15303 20404 25505 30000 30606 40808 51010 61212 76515 81616 102020 122424 127525 153030 204040 244848 255050 306060 382575 408080 510100 612120 637625 765150 1020200 1224240 1275250 1530300 1912875 2040400 2550500 3060600 3188125 3825750 5101000 6121200 6376250 7651500 9564375 10202000 12752500 15303000 19128750 25505000 30606000 38257500 51010000 76515000 153030000