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20241239040 = 210365111729
BaseRepresentation
bin10010110110011110…
…001100110000000000
31221020122110111000000
4102312132030300000
5312423224122130
613144304000000
71314411456501
oct226636146000
957218414000
1020241239040
118647719530
123b0a900000
131ba7670729
14da0360ba8
157d701e260
hex4b678cc00

20241239040 has 1232 divisors, whose sum is σ = 86988984480. Its totient is φ = 4459069440.

The previous prime is 20241239021. The next prime is 20241239041. The reversal of 20241239040 is 4093214202.

20241239040 is a `hidden beast` number, since 202 + 412 + 3 + 9 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20241238995 and 20241239013.

It is not an unprimeable number, because it can be changed into a prime (20241239041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 697973746 + ... + 697973774.

Almost surely, 220241239040 is an apocalyptic number.

20241239040 is a gapful number since it is divisible by the number (20) 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 20241239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43494492240).

20241239040 is an abundant number, since it is smaller than the sum of its proper divisors (66747745440).

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

20241239040 is a wasteful number, since it uses less digits than its factorization.

20241239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20241239040 in words is "twenty billion, two hundred forty-one million, two hundred thirty-nine thousand, forty".