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1020172016 = 24196750087
BaseRepresentation
bin111100110011101…
…001011011110000
32122002122002220202
4330303221123300
54042131001031
6245121454332
734165214303
oct7463513360
92562562822
101020172016
11483951376
122457a13a8
131334809a6
14996bcb3a
155e8682cb
hex3cce96f0

1020172016 has 40 divisors (see below), whose sum is σ = 2111710080. Its totient is φ = 476017344.

The previous prime is 1020172001. The next prime is 1020172031. The reversal of 1020172016 is 6102710201.

It is an interprime number because it is at equal distance from previous prime (1020172001) and next prime (1020172031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4676 + ... + 45411.

It is an arithmetic number, because the mean of its divisors is an integer number (52792752).

Almost surely, 21020172016 is an apocalyptic number.

1020172016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1020172016 is an abundant number, since it is smaller than the sum of its proper divisors (1091538064).

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

1020172016 is a wasteful number, since it uses less digits than its factorization.

1020172016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50181 (or 50175 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1020172016 is about 31940.1317467540. The cubic root of 1020172016 is about 1006.6792930500.

Adding to 1020172016 its reverse (6102710201), we get a palindrome (7122882217).

The spelling of 1020172016 in words is "one billion, twenty million, one hundred seventy-two thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 1072 1273 2546 5092 10184 20368 50087 100174 200348 400696 801392 951653 1903306 3355829 3806612 6711658 7613224 13423316 15226448 26846632 53693264 63760751 127521502 255043004 510086008 1020172016