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20232707040 = 25335713237107
BaseRepresentation
bin10010110101111101…
…101001101111100000
31221020001102000022000
4102311331221233200
5312414033111130
613143401044000
71314246113040
oct226575515740
957201360260
1020232707040
118642921297
123b07a86600
131ba5974100
14d9d17d720
157d63d6260
hex4b5f69be0

20232707040 has 1152 divisors, whose sum is σ = 90844830720. Its totient is φ = 4114685952.

The previous prime is 20232706997. The next prime is 20232707059. The reversal of 20232707040 is 4070723202.

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 = 20232706995 and 20232707013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189090667 + ... + 189090773.

It is an arithmetic number, because the mean of its divisors is an integer number (78858360).

Almost surely, 220232707040 is an apocalyptic number.

20232707040 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 20232707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45422415360).

20232707040 is an abundant number, since it is smaller than the sum of its proper divisors (70612123680).

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

20232707040 is a wasteful number, since it uses less digits than its factorization.

20232707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 20232707040 in words is "twenty billion, two hundred thirty-two million, seven hundred seven thousand, forty".