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1052653160 = 2351310718919
BaseRepresentation
bin111110101111100…
…011011001101000
32201100202022200002
4332233203121220
54123434400120
6252242002132
735041255436
oct7657433150
92640668602
101052653160
114a0216999
12254646348
1313a1140c0
149db35d56
1562632375
hex3ebe3668

1052653160 has 64 divisors (see below), whose sum is σ = 2574633600. Its totient is φ = 385019136.

The previous prime is 1052653139. The next prime is 1052653169. The reversal of 1052653160 is 613562501.

It is a super-2 number, since 2×10526531602 = 2216157350515971200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052653169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46181 + ... + 65099.

It is an arithmetic number, because the mean of its divisors is an integer number (40228650).

Almost surely, 21052653160 is an apocalyptic number.

1052653160 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 1052653160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287316800).

1052653160 is an abundant number, since it is smaller than the sum of its proper divisors (1521980440).

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

1052653160 is a wasteful number, since it uses less digits than its factorization.

1052653160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19050 (or 19046 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 1052653160 is about 32444.6168108055. The cubic root of 1052653160 is about 1017.2517199943.

The spelling of 1052653160 in words is "one billion, fifty-two million, six hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2782 4280 5564 6955 11128 13910 18919 27820 37838 55640 75676 94595 151352 189190 245947 378380 491894 756760 983788 1229735 1967576 2024333 2459470 4048666 4918940 8097332 9837880 10121665 16194664 20243330 26316329 40486660 52632658 80973320 105265316 131581645 210530632 263163290 526326580 1052653160