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1679199920 = 245131163983
BaseRepresentation
bin110010000010110…
…1000111010110000
311100000201012020122
41210011220322300
511414333344140
6434343025412
756416651406
oct14405507260
94300635218
101679199920
11791956832
123aa43b268
13209b75c28
1411d02d476
159c645ab5
hex64168eb0

1679199920 has 80 divisors (see below), whose sum is σ = 3962103552. Its totient is φ = 661789440.

The previous prime is 1679199919. The next prime is 1679199943. The reversal of 1679199920 is 299919761.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1707749 + ... + 1708731.

Almost surely, 21679199920 is an apocalyptic number.

1679199920 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 1679199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981051776).

1679199920 is an abundant number, since it is smaller than the sum of its proper divisors (2282903632).

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

1679199920 is a wasteful number, since it uses less digits than its factorization.

1679199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 53.

The square root of 1679199920 is about 40978.0419249139. The cubic root of 1679199920 is about 1188.5956457824.

The spelling of 1679199920 in words is "one billion, six hundred seventy-nine million, one hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 163 262 326 524 652 655 815 983 1048 1304 1310 1630 1966 2096 2608 2620 3260 3932 4915 5240 6520 7864 9830 10480 13040 15728 19660 21353 39320 42706 78640 85412 106765 128773 160229 170824 213530 257546 320458 341648 427060 515092 640916 643865 801145 854120 1030184 1281832 1287730 1602290 1708240 2060368 2563664 2575460 3204580 5150920 6409160 10301840 12818320 20989999 41979998 83959996 104949995 167919992 209899990 335839984 419799980 839599960 1679199920