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153530640 = 24345192943
BaseRepresentation
bin10010010011010…
…11000100010000
3101200220011110000
421021223010100
5303300440030
623122410000
73542663124
oct1111530420
9350804400
10153530640
117973392a
1243500900
1325a66c43
1416567584
15d72a860
hex926b110

153530640 has 400 divisors, whose sum is σ = 594158400. Its totient is φ = 36578304.

The previous prime is 153530603. The next prime is 153530647. The reversal of 153530640 is 46035351.

153530640 is a `hidden beast` number, since 15 + 3 + 5 + 3 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153530647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3570459 + ... + 3570501.

It is an arithmetic number, because the mean of its divisors is an integer number (1485396).

Almost surely, 2153530640 is an apocalyptic number.

153530640 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 153530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297079200).

153530640 is an abundant number, since it is smaller than the sum of its proper divisors (440627760).

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

153530640 is a wasteful number, since it uses less digits than its factorization.

153530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 153530640 is about 12390.7481614308. The cubic root of 153530640 is about 535.4657370447.

Adding to 153530640 its reverse (46035351), we get a palindrome (199565991).

The spelling of 153530640 in words is "one hundred fifty-three million, five hundred thirty thousand, six hundred forty".