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153257040 = 243251719659
BaseRepresentation
bin10010010001010…
…00010001010000
3101200101021010200
421020220101100
5303213211130
623112455200
73540443346
oct1110502120
9350337120
10153257040
1179567312
12433aa500
132599c551
14164d5996
15d6c4760
hex9228450

153257040 has 240 divisors, whose sum is σ = 574516800. Its totient is φ = 36384768.

The previous prime is 153257033. The next prime is 153257047. The reversal of 153257040 is 40752351.

It is a happy number.

153257040 is a `hidden beast` number, since 1 + 53 + 2 + 570 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (153257033) and next prime (153257047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 153256995 and 153257013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153257047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232231 + ... + 232889.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2153257040 is an apocalyptic number.

153257040 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 153257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

153257040 is an abundant number, since it is smaller than the sum of its proper divisors (421259760).

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

153257040 is a wasteful number, since it uses less digits than its factorization.

153257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 153257040 is about 12379.7027427964. The cubic root of 153257040 is about 535.1474715014.

The spelling of 153257040 in words is "one hundred fifty-three million, two hundred fifty-seven thousand, forty".