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1020172020 = 223577134211
BaseRepresentation
bin111100110011101…
…001011011110100
32122002122002220220
4330303221123310
54042131001040
6245121454340
734165214310
oct7463513364
92562562826
101020172020
1148395137a
122457a13b0
131334809aa
14996bcb40
155e8682d0
hex3cce96f4

1020172020 has 96 divisors (see below), whose sum is σ = 3310626816. Its totient is φ = 229891200.

The previous prime is 1020172001. The next prime is 1020172031. The reversal of 1020172020 is 202710201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 12715 + ... + 46925.

It is an arithmetic number, because the mean of its divisors is an integer number (34485696).

Almost surely, 21020172020 is an apocalyptic number.

1020172020 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 1020172020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655313408).

1020172020 is an abundant number, since it is smaller than the sum of its proper divisors (2290454796).

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

1020172020 is a wasteful number, since it uses less digits than its factorization.

1020172020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34301 (or 34299 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1020172020 is about 31940.1318093711. The cubic root of 1020172020 is about 1006.6792943657.

Adding to 1020172020 its reverse (202710201), we get a palindrome (1222882221).

The spelling of 1020172020 in words is "one billion, twenty million, one hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 29820 34211 68422 102633 136844 171055 205266 239477 342110 410532 478954 513165 684220 718431 957908 1026330 1197385 1436862 2052660 2394770 2428981 2873724 3592155 4789540 4857962 7184310 7286943 9715924 12144905 14368620 14573886 17002867 24289810 29147772 34005734 36434715 48579620 51008601 68011468 72869430 85014335 102017202 145738860 170028670 204034404 255043005 340057340 510086010 1020172020