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1693680084 = 223353449659
BaseRepresentation
bin110010011110011…
…1000000111010100
311101000221212022000
41210330320013110
511432040230314
6440021235300
756654020545
oct14474700724
94330855260
101693680084
1179a046a08
123b3262b30
1320cb75a85
14120d1c4cc
159da56209
hex64f381d4

1693680084 has 96 divisors (see below), whose sum is σ = 4490640000. Its totient is φ = 551835648.

The previous prime is 1693680077. The next prime is 1693680089. The reversal of 1693680084 is 4800863961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1693680089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2569747 + ... + 2570405.

It is an arithmetic number, because the mean of its divisors is an integer number (46777500).

Almost surely, 21693680084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1693680084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245320000).

1693680084 is an abundant number, since it is smaller than the sum of its proper divisors (2796959916).

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

1693680084 is a wasteful number, since it uses less digits than its factorization.

1693680084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1693680084 is about 41154.3446552123. The cubic root of 1693680084 is about 1192.0023919670.

It can be divided in two parts, 16936 and 80084, that added together give a triangular number (97020 = T440).

The spelling of 1693680084 in words is "one billion, six hundred ninety-three million, six hundred eighty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 449 477 636 659 898 954 1318 1347 1431 1796 1908 1977 2636 2694 2862 3954 4041 5388 5724 5931 7908 8082 11862 12123 16164 17793 23724 23797 24246 34927 35586 47594 48492 69854 71172 71391 95188 104781 139708 142782 209562 214173 285564 295891 314343 419124 428346 591782 628686 642519 856692 887673 943029 1183564 1257372 1285038 1775346 1886058 2570076 2663019 3550692 3772116 5326038 7989057 10652076 15682223 15978114 31364446 31956228 47046669 62728892 94093338 141140007 188186676 282280014 423420021 564560028 846840042 1693680084