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153050000 = 24553061
BaseRepresentation
bin10010001111101…
…01101110010000
3101122222202010112
421013311232100
5303140100000
623104220452
73535621625
oct1107655620
9348882115
10153050000
1179435804
124330a728
132592923c
141648034c
15d683235
hex91f5b90

153050000 has 60 divisors (see below), whose sum is σ = 370765332. Its totient is φ = 61200000.

The previous prime is 153049993. The next prime is 153050003. The reversal of 153050000 is 50351.

153050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 87310336 + 65739664 = 9344^2 + 8108^2 .

It is not an unprimeable number, because it can be changed into a prime (153050003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48470 + ... + 51530.

Almost surely, 2153050000 is an apocalyptic number.

153050000 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 153050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185382666).

153050000 is an abundant number, since it is smaller than the sum of its proper divisors (217715332).

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

153050000 is an frugal number, since it uses more digits than its factorization.

153050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 153050000 is about 12371.3378419636. The cubic root of 153050000 is about 534.9063801013.

The spelling of 153050000 in words is "one hundred fifty-three million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3061 3125 5000 6122 6250 10000 12244 12500 15305 24488 25000 30610 48976 50000 61220 76525 122440 153050 244880 306100 382625 612200 765250 1224400 1530500 1913125 3061000 3826250 6122000 7652500 9565625 15305000 19131250 30610000 38262500 76525000 153050000