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153042030 = 232515710831
BaseRepresentation
bin10010001111100…
…11110001101110
3101122222100012100
421013303301232
5303134321110
623104115530
73535556451
oct1107636156
9348870170
10153042030
117942a819
1243305ba6
132592571b
141647b498
15d680bc0
hex91f3c6e

153042030 has 48 divisors (see below), whose sum is σ = 400480704. Its totient is φ = 40547520.

The previous prime is 153042013. The next prime is 153042037. The reversal of 153042030 is 30240351.

153042030 is digitally balanced in base 3, 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153041994 and 153042012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153042037) 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, 8715 + ... + 19545.

It is an arithmetic number, because the mean of its divisors is an integer number (8343348).

Almost surely, 2153042030 is an apocalyptic number.

153042030 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 153042030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200240352).

153042030 is an abundant number, since it is smaller than the sum of its proper divisors (247438674).

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

153042030 is a wasteful number, since it uses less digits than its factorization.

153042030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 153042030 is about 12371.0157222437. The cubic root of 153042030 is about 534.8970949486.

Adding to 153042030 its reverse (30240351), we get a palindrome (183282381).

The spelling of 153042030 in words is "one hundred fifty-three million, forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 10831 14130 21662 32493 54155 64986 97479 108310 162465 194958 324930 487395 974790 1700467 3400934 5101401 8502335 10202802 15304203 17004670 25507005 30608406 51014010 76521015 153042030