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1053020520 = 233354392221
BaseRepresentation
bin111110110000111…
…101000101101000
32201101102222121000
4332300331011220
54124033124040
6252253515000
735044345446
oct7660750550
92641388530
101053020520
114a04479a2
122547a2a60
1313a212386
149dbcdb96
15626a6130
hex3ec3d168

1053020520 has 128 divisors (see below), whose sum is σ = 3519648000. Its totient is φ = 280039680.

The previous prime is 1053020519. The next prime is 1053020531. The reversal of 1053020520 is 250203501.

It is a happy number.

It is a super-2 number, since 2×10530205202 = 2217704431082140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1053020493 and 1053020502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473010 + ... + 475230.

It is an arithmetic number, because the mean of its divisors is an integer number (27497250).

Almost surely, 21053020520 is an apocalyptic number.

1053020520 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 1053020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759824000).

1053020520 is an abundant number, since it is smaller than the sum of its proper divisors (2466627480).

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

1053020520 is a wasteful number, since it uses less digits than its factorization.

1053020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1053020520 is about 32450.2776567474. The cubic root of 1053020520 is about 1017.3700413759.

The spelling of 1053020520 in words is "one billion, fifty-three million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 439 540 878 1080 1317 1756 2195 2221 2634 3512 3951 4390 4442 5268 6585 6663 7902 8780 8884 10536 11105 11853 13170 13326 15804 17560 17768 19755 19989 22210 23706 26340 26652 31608 33315 39510 39978 44420 47412 52680 53304 59265 59967 66630 79020 79956 88840 94824 99945 118530 119934 133260 158040 159912 199890 237060 239868 266520 299835 399780 474120 479736 599670 799560 975019 1199340 1950038 2398680 2925057 3900076 4875095 5850114 7800152 8775171 9750190 11700228 14625285 17550342 19500380 23400456 26325513 29250570 35100684 39000760 43875855 52651026 58501140 70201368 87751710 105302052 117002280 131627565 175503420 210604104 263255130 351006840 526510260 1053020520