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1693734980 = 225722118191
BaseRepresentation
bin110010011110100…
…0101100001000100
311101001001122121012
41210331011201010
511432044004410
6440022341352
756654336600
oct14475054104
94331048535
101693734980
1179a084183
123b328a858
1320cb94a62
14120d34500
159da67605
hex64f45844

1693734980 has 72 divisors (see below), whose sum is σ = 4157669376. Its totient is φ = 577886400.

The previous prime is 1693734971. The next prime is 1693734983. The reversal of 1693734980 is 894373961.

It is not an unprimeable number, because it can be changed into a prime (1693734983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 202685 + ... + 210875.

It is an arithmetic number, because the mean of its divisors is an integer number (57745408).

Almost surely, 21693734980 is an apocalyptic number.

1693734980 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 1693734980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078834688).

1693734980 is an abundant number, since it is smaller than the sum of its proper divisors (2463934396).

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

1693734980 is a wasteful number, since it uses less digits than its factorization.

1693734980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 1693734980 is about 41155.0116024768. The cubic root of 1693734980 is about 1192.0152703252.

The spelling of 1693734980 in words is "one billion, six hundred ninety-three million, seven hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 211 245 422 490 844 980 1055 1477 2110 2954 4220 5908 7385 8191 10339 14770 16382 20678 29540 32764 40955 41356 51695 57337 81910 103390 114674 163820 206780 229348 286685 401359 573370 802718 1146740 1605436 1728301 2006795 3456602 4013590 6913204 8027180 8641505 12098107 17283010 24196214 34566020 48392428 60490535 84686749 120981070 169373498 241962140 338746996 423433745 846867490 1693734980