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823147520 = 21051383149
BaseRepresentation
bin110001000100000…
…011110000000000
32010100220020010012
4301010003300000
53141211210040
6213402524052
726253431666
oct6104036000
92110806105
10823147520
11392710a08
121ab806628
131016c8b50
147b472c36
154c3ea865
hex31103c00

823147520 has 176 divisors, whose sum is σ = 2166544800. Its totient is φ = 298254336.

The previous prime is 823147511. The next prime is 823147541. The reversal of 823147520 is 25741328.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5524406 + ... + 5524554.

Almost surely, 2823147520 is an apocalyptic number.

823147520 is a gapful number since it is divisible by the number (80) 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 823147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083272400).

823147520 is an abundant number, since it is smaller than the sum of its proper divisors (1343397280).

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

823147520 is a wasteful number, since it uses less digits than its factorization.

823147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 823147520 is about 28690.5475723277. The cubic root of 823147520 is about 937.1862136820.

Adding to 823147520 its reverse (25741328), we get a palindrome (848888848).

The spelling of 823147520 in words is "eight hundred twenty-three million, one hundred forty-seven thousand, five hundred twenty".