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1690924320 = 253258591367
BaseRepresentation
bin110010011001001…
…0111010100100000
311100211202212002200
41210302113110200
511430334034240
6435442213200
756621422341
oct14462272440
94324685080
101690924320
11798534518
123b2354200
1320c41c647
141208020c8
159d6ae930
hex64c97520

1690924320 has 144 divisors (see below), whose sum is σ = 5781222720. Its totient is φ = 450058752.

The previous prime is 1690924307. The next prime is 1690924343. The reversal of 1690924320 is 234290961.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 1236277 + ... + 1237643.

It is an arithmetic number, because the mean of its divisors is an integer number (40147380).

Almost surely, 21690924320 is an apocalyptic number.

1690924320 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 1690924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890611360).

1690924320 is an abundant number, since it is smaller than the sum of its proper divisors (4090298400).

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

1690924320 is a wasteful number, since it uses less digits than its factorization.

1690924320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1690924320 is about 41120.8501857634. The cubic root of 1690924320 is about 1191.3555440142.

The spelling of 1690924320 in words is "one billion, six hundred ninety million, nine hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 859 1367 1440 1718 2577 2734 3436 4101 4295 5154 5468 6835 6872 7731 8202 8590 10308 10936 12303 12885 13670 13744 15462 16404 17180 20505 20616 21872 24606 25770 27340 27488 30924 32808 34360 38655 41010 41232 43744 49212 51540 54680 61515 61848 65616 68720 77310 82020 82464 98424 103080 109360 123030 123696 131232 137440 154620 164040 196848 206160 218720 246060 247392 309240 328080 393696 412320 492120 618480 656160 984240 1174253 1236960 1968480 2348506 3522759 4697012 5871265 7045518 9394024 10568277 11742530 14091036 17613795 18788048 21136554 23485060 28182072 35227590 37576096 42273108 46970120 52841385 56364144 70455180 84546216 93940240 105682770 112728288 140910360 169092432 187880480 211365540 281820720 338184864 422731080 563641440 845462160 1690924320