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1663416120 = 233523602687
BaseRepresentation
bin110001100100101…
…1011011100111000
311021221000021221110
41203021123130320
511401313303440
6433020440320
756135542452
oct14311333470
94257007843
101663416120
11783a56173
123a50a90a0
1320680a8c2
1411acc12d2
159b079080
hex6325b738

1663416120 has 64 divisors (see below), whose sum is σ = 5207224320. Its totient is φ = 424290944.

The previous prime is 1663416101. The next prime is 1663416127. The reversal of 1663416120 is 216143661.

1663416120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663416127) 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, 298584 + ... + 304103.

It is an arithmetic number, because the mean of its divisors is an integer number (81362880).

Almost surely, 21663416120 is an apocalyptic number.

1663416120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1663416120 is an abundant number, since it is smaller than the sum of its proper divisors (3543808200).

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

1663416120 is a wasteful number, since it uses less digits than its factorization.

1663416120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602724 (or 602720 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1663416120 is about 40784.9987127620. The cubic root of 1663416120 is about 1184.8598100104.

Adding to 1663416120 its reverse (216143661), we get a palindrome (1879559781).

The spelling of 1663416120 in words is "one billion, six hundred sixty-three million, four hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 602687 1205374 1808061 2410748 3013435 3616122 4821496 6026870 7232244 9040305 12053740 13861801 14464488 18080610 24107480 27723602 36161220 41585403 55447204 69309005 72322440 83170806 110894408 138618010 166341612 207927015 277236020 332683224 415854030 554472040 831708060 1663416120