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153245400 = 2335271131107
BaseRepresentation
bin10010010001001…
…01011011011000
3101200100200011120
421020211123120
5303212323100
623112325240
73540364410
oct1110453330
9350320146
10153245400
11795595a0
12433a3820
1325997169
14164d1640
15d6c10a0
hex92256d8

153245400 has 384 divisors, whose sum is σ = 617103360. Its totient is φ = 30528000.

The previous prime is 153245399. The next prime is 153245401. The reversal of 153245400 is 4542351.

It is an interprime number because it is at equal distance from previous prime (153245399) and next prime (153245401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153245401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1432147 + ... + 1432253.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2153245400 is an apocalyptic number.

153245400 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 153245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

153245400 is an abundant number, since it is smaller than the sum of its proper divisors (463857960).

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

153245400 is a wasteful number, since it uses less digits than its factorization.

153245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 153245400 is about 12379.2326094956. The cubic root of 153245400 is about 535.1339228595.

Adding to 153245400 its reverse (4542351), we get a palindrome (157787751).

The spelling of 153245400 in words is "one hundred fifty-three million, two hundred forty-five thousand, four hundred".