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1053896832 = 2735311093
BaseRepresentation
bin111110110100010…
…011000010000000
32201110002111200000
4332310103002000
54124244144312
6252324400000
735054655342
oct7664230200
92643074600
101053896832
114a099631a
12254b46000
1313a45b1c1
149dd7b292
15627caadc
hex3ed13080

1053896832 has 192 divisors, whose sum is σ = 3249442560. Its totient is φ = 339655680.

The previous prime is 1053896791. The next prime is 1053896843. The reversal of 1053896832 is 2386983501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10538968322 = 2221397064999272448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963678 + ... + 964770.

It is an arithmetic number, because the mean of its divisors is an integer number (16924180).

Almost surely, 21053896832 is an apocalyptic number.

1053896832 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 1053896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624721280).

1053896832 is an abundant number, since it is smaller than the sum of its proper divisors (2195545728).

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

1053896832 is an equidigital number, since it uses as much as digits as its factorization.

1053896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1053896832 is about 32463.7772293983. Note that the first 3 decimals coincide. The cubic root of 1053896832 is about 1017.6521778158.

The spelling of 1053896832 in words is "one billion, fifty-three million, eight hundred ninety-six thousand, eight hundred thirty-two".