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1053684520 = 2357193753101
BaseRepresentation
bin111110110011011…
…111001100101000
32201102200201102121
4332303133030220
54124220401040
6252320041024
735053112350
oct7663371450
92642621377
101053684520
114a0860859
12254a63174
1313a3b5685
149dd23b60
1562787c4a
hex3ecdf328

1053684520 has 256 divisors, whose sum is σ = 3013977600. Its totient is φ = 323481600.

The previous prime is 1053684509. The next prime is 1053684523. The reversal of 1053684520 is 254863501.

It is a super-2 number, since 2×10536845202 = 2220502135375260800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053684523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10432470 + ... + 10432570.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 21053684520 is an apocalyptic number.

1053684520 is a gapful number since it is divisible by the number (10) 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 1053684520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506988800).

1053684520 is an abundant number, since it is smaller than the sum of its proper divisors (1960293080).

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

1053684520 is a wasteful number, since it uses less digits than its factorization.

1053684520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 1053684520 is about 32460.5070816831. The cubic root of 1053684520 is about 1017.5838364396.

The spelling of 1053684520 in words is "one billion, fifty-three million, six hundred eighty-four thousand, five hundred twenty".