Search a number
-
+
1679680368 = 24333888149
BaseRepresentation
bin110010000011101…
…1110001101110000
311100001121121022000
41210013132031300
511414444232433
6434401214000
756424022212
oct14407361560
94301547260
101679680368
117921547a3
123aa631300
13209cb3812
1411d1165b2
159c6dd113
hex641de370

1679680368 has 40 divisors (see below), whose sum is σ = 4821306000. Its totient is φ = 559893312.

The previous prime is 1679680367. The next prime is 1679680369. The reversal of 1679680368 is 8630869761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1679680367) and next prime (1679680369).

It is a super-2 number, since 2×16796803682 = 5642652277289230848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679680367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1943643 + ... + 1944506.

It is an arithmetic number, because the mean of its divisors is an integer number (120532650).

Almost surely, 21679680368 is an apocalyptic number.

1679680368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1679680368 is an abundant number, since it is smaller than the sum of its proper divisors (3141625632).

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

1679680368 is a wasteful number, since it uses less digits than its factorization.

1679680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888166 (or 3888154 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1679680368 is about 40983.9037672109. The cubic root of 1679680368 is about 1188.7089941970.

The spelling of 1679680368 in words is "one billion, six hundred seventy-nine million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3888149 7776298 11664447 15552596 23328894 31105192 34993341 46657788 62210384 69986682 93315576 104980023 139973364 186631152 209960046 279946728 419920092 559893456 839840184 1679680368