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1020231072 = 25337433923
BaseRepresentation
bin111100110011110…
…111110110100000
32122002202002221000
4330303313312200
54042134343242
6245123032000
734165551420
oct7463676640
92562662830
101020231072
11483991783
1224580b600
131334a1833
14996d6480
155e87aa4c
hex3ccf7da0

1020231072 has 192 divisors, whose sum is σ = 3480744960. Its totient is φ = 284643072.

The previous prime is 1020231071. The next prime is 1020231089. The reversal of 1020231072 is 2701320201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020231071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258103 + ... + 262025.

It is an arithmetic number, because the mean of its divisors is an integer number (18128880).

Almost surely, 21020231072 is an apocalyptic number.

1020231072 is a gapful number since it is divisible by the number (12) 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 1020231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740372480).

1020231072 is an abundant number, since it is smaller than the sum of its proper divisors (2460513888).

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

1020231072 is a wasteful number, since it uses less digits than its factorization.

1020231072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1020231072 is about 31941.0562129683. The cubic root of 1020231072 is about 1006.6987176517.

Adding to 1020231072 its reverse (2701320201), we get a palindrome (3721551273).

The spelling of 1020231072 in words is "one billion, twenty million, two hundred thirty-one thousand, seventy-two".