Search a number
-
+
1676730240 = 27335195107
BaseRepresentation
bin110001111110000…
…1101111110000000
311022212001201111000
41203330031332000
511413220331430
6434214052000
756356654233
oct14374157600
94285051430
101676730240
1179051a279
123a964a000
132094bca93
1411c98941a
159c308e60
hex63f0df80

1676730240 has 256 divisors, whose sum is σ = 6252192000. Its totient is φ = 423512064.

The previous prime is 1676730239. The next prime is 1676730257. The reversal of 1676730240 is 420376761.

It is a super-2 number, since 2×16767302402 = 5622848595460915200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1676730195 and 1676730204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325767 + ... + 330873.

It is an arithmetic number, because the mean of its divisors is an integer number (24422625).

Almost surely, 21676730240 is an apocalyptic number.

1676730240 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 1676730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126096000).

1676730240 is an abundant number, since it is smaller than the sum of its proper divisors (4575461760).

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

1676730240 is a wasteful number, since it uses less digits than its factorization.

1676730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1676730240 is about 40947.8966492786. The cubic root of 1676730240 is about 1188.0126516355.

The spelling of 1676730240 in words is "one billion, six hundred seventy-six million, seven hundred thirty thousand, two hundred forty".