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1679643420 = 2235713307627
BaseRepresentation
bin110010000011101…
…0101001100011100
311100001112201121120
41210013111030130
511414442042140
6434400330540
756423506410
oct14407251434
94301481546
101679643420
11792129a64
123aa613a50
13209c9ca60
1411d106d40
159c6d21d0
hex641d531c

1679643420 has 96 divisors (see below), whose sum is σ = 5788328448. Its totient is φ = 354385152.

The previous prime is 1679643419. The next prime is 1679643421. The reversal of 1679643420 is 243469761.

It is an interprime number because it is at equal distance from previous prime (1679643419) and next prime (1679643421).

It is a super-3 number, since 3×16796434203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679643421) 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, 148354 + ... + 159273.

It is an arithmetic number, because the mean of its divisors is an integer number (60295088).

Almost surely, 21679643420 is an apocalyptic number.

1679643420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1679643420 is an abundant number, since it is smaller than the sum of its proper divisors (4108685028).

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

1679643420 is a wasteful number, since it uses less digits than its factorization.

1679643420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307659 (or 307657 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1679643420 is about 40983.4530024009. The cubic root of 1679643420 is about 1188.7002781058.

The spelling of 1679643420 in words is "one billion, six hundred seventy-nine million, six hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 307627 615254 922881 1230508 1538135 1845762 2153389 3076270 3691524 3999151 4306778 4614405 6152540 6460167 7998302 8613556 9228810 10766945 11997453 12920334 15996604 18457620 19995755 21533890 23994906 25840668 27994057 32300835 39991510 43067780 47989812 55988114 59987265 64601670 79983020 83982171 111976228 119974530 129203340 139970285 167964342 239949060 279940570 335928684 419910855 559881140 839821710 1679643420