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1020402432 = 28327151419
BaseRepresentation
bin111100110100100…
…001101100000000
32122010001210222200
4330310201230000
54042210334212
6245130433200
734200164130
oct7464415400
92563053880
101020402432
11483a994a5
12245892800
1313353182a
149973cac0
155e8b16dc
hex3cd21b00

1020402432 has 216 divisors, whose sum is σ = 3392712960. Its totient is φ = 288921600.

The previous prime is 1020402421. The next prime is 1020402437. The reversal of 1020402432 is 2342040201.

It is a super-2 number, since 2×10204024322 = 2082442246463029248, which contains 22 as substring.

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 (1020402437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435119 + ... + 2435537.

Almost surely, 21020402432 is an apocalyptic number.

1020402432 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 1020402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696356480).

1020402432 is an abundant number, since it is smaller than the sum of its proper divisors (2372310528).

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

1020402432 is a wasteful number, since it uses less digits than its factorization.

1020402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1020402432 is about 31943.7385413793. The cubic root of 1020402432 is about 1006.7550768562.

Adding to 1020402432 its reverse (2342040201), we get a palindrome (3362442633).

The spelling of 1020402432 in words is "one billion, twenty million, four hundred two thousand, four hundred thirty-two".