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1053213320 = 235196832029
BaseRepresentation
bin111110110001101…
…100001010001000
32201101210210001202
4332301230022020
54124110311240
6252302003332
735046110525
oct7661541210
92641723052
101053213320
114a0569835
12254876548
1313a27c063
149dc4014c
15626e3315
hex3ec6c288

1053213320 has 64 divisors (see below), whose sum is σ = 2499336000. Its totient is φ = 398331648.

The previous prime is 1053213283. The next prime is 1053213323. The reversal of 1053213320 is 233123501.

It is a super-2 number, since 2×10532133202 = 2218516594850844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1053213292 and 1053213301.

It is not an unprimeable number, because it can be changed into a prime (1053213323) 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, 518066 + ... + 520094.

It is an arithmetic number, because the mean of its divisors is an integer number (39052125).

Almost surely, 21053213320 is an apocalyptic number.

1053213320 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 1053213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249668000).

1053213320 is an abundant number, since it is smaller than the sum of its proper divisors (1446122680).

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

1053213320 is a wasteful number, since it uses less digits than its factorization.

1053213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1053213320 is about 32453.2482195542. The cubic root of 1053213320 is about 1017.4321284769.

Adding to 1053213320 its reverse (233123501), we get a palindrome (1286336821).

The spelling of 1053213320 in words is "one billion, fifty-three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 683 760 1366 2029 2732 3415 4058 5464 6830 8116 10145 12977 13660 16232 20290 25954 27320 38551 40580 51908 64885 77102 81160 103816 129770 154204 192755 259540 308408 385510 519080 771020 1385807 1542040 2771614 5543228 6929035 11086456 13858070 26330333 27716140 52660666 55432280 105321332 131651665 210642664 263303330 526606660 1053213320