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1020023120 = 245171514967
BaseRepresentation
bin111100110011000…
…101000101010000
32122002100112200002
4330303011011100
54042111214440
6245114345132
734164024224
oct7463050520
92562315602
101020023120
1148385a516
1224572b1a8
1313342ac9c
1499680784
155e839115
hex3ccc5150

1020023120 has 80 divisors (see below), whose sum is σ = 2528195328. Its totient is φ = 381388800.

The previous prime is 1020023117. The next prime is 1020023131. The reversal of 1020023120 is 213200201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202877 + ... + 207843.

Almost surely, 21020023120 is an apocalyptic number.

1020023120 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 1020023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264097664).

1020023120 is an abundant number, since it is smaller than the sum of its proper divisors (1508172208).

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

1020023120 is a wasteful number, since it uses less digits than its factorization.

1020023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1020023120 is about 31937.8008009318. The cubic root of 1020023120 is about 1006.6303150965.

Adding to 1020023120 its reverse (213200201), we get a palindrome (1233223321).

The spelling of 1020023120 in words is "one billion, twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 272 302 340 604 680 755 1208 1360 1510 2416 2567 3020 4967 5134 6040 9934 10268 12080 12835 19868 20536 24835 25670 39736 41072 49670 51340 79472 84439 99340 102680 168878 198680 205360 337756 397360 422195 675512 750017 844390 1351024 1500034 1688780 3000068 3377560 3750085 6000136 6755120 7500170 12000272 12750289 15000340 25500578 30000680 51001156 60001360 63751445 102002312 127502890 204004624 255005780 510011560 1020023120