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10245531240 = 233557236547
BaseRepresentation
bin10011000101010111…
…00110011001101000
3222110000202220200000
421202223212121220
5131440323444430
64412353143000
7511615402320
oct114253463150
928400686600
1010245531240
11438837629a
121b9b25aa60
13c73826b29
146d29d8280
153ee70ce60
hex262ae6668

10245531240 has 384 divisors, whose sum is σ = 41186396160. Its totient is φ = 2239674624.

The previous prime is 10245531211. The next prime is 10245531319. The reversal of 10245531240 is 4213554201.

10245531240 is a `hidden beast` number, since 102 + 4 + 5 + 531 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561647 + ... + 1568193.

It is an arithmetic number, because the mean of its divisors is an integer number (107256240).

Almost surely, 210245531240 is an apocalyptic number.

10245531240 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 10245531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593198080).

10245531240 is an abundant number, since it is smaller than the sum of its proper divisors (30940864920).

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

10245531240 is a wasteful number, since it uses less digits than its factorization.

10245531240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10245531240 in words is "ten billion, two hundred forty-five million, five hundred thirty-one thousand, two hundred forty".