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153000270 = 23252277489
BaseRepresentation
bin10010001111010…
…01100101001110
3101122220012220200
421013221211032
5303132002040
623103154330
73535323633
oct1107514516
9348805820
10153000270
1179401405
12432a59a6
132590c707
141646a18a
15d673630
hex91e994e

153000270 has 48 divisors (see below), whose sum is σ = 399606480. Its totient is φ = 40614912.

The previous prime is 153000269. The next prime is 153000277. The reversal of 153000270 is 72000351.

153000270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153000277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16686 + ... + 24174.

It is an arithmetic number, because the mean of its divisors is an integer number (8325135).

Almost surely, 2153000270 is an apocalyptic number.

153000270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153000270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199803240).

153000270 is an abundant number, since it is smaller than the sum of its proper divisors (246606210).

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

153000270 is a wasteful number, since it uses less digits than its factorization.

153000270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 153000270 is about 12369.3277909513. The cubic root of 153000270 is about 534.8484387403.

The spelling of 153000270 in words is "one hundred fifty-three million, two hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 454 681 1135 1362 2043 2270 3405 4086 6810 7489 10215 14978 20430 22467 37445 44934 67401 74890 112335 134802 224670 337005 674010 1700003 3400006 5100009 8500015 10200018 15300027 17000030 25500045 30600054 51000090 76500135 153000270