[go: up one dir, main page]

Search a number
-
+
1796928 = 26372191
BaseRepresentation
bin110110110101101000000
310101021220220
412312231000
5430000203
6102303040
721162600
oct6665500
93337826
101796928
111018071
12727a80
134abb93
1434ac00
15257653
hex1b6b40

1796928 has 84 divisors (see below), whose sum is σ = 5559552. Its totient is φ = 510720.

The previous prime is 1796911. The next prime is 1796941. The reversal of 1796928 is 8296971.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1796928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9313 + ... + 9503.

21796928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779776).

1796928 is an abundant number, since it is smaller than the sum of its proper divisors (3762624).

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

1796928 is a wasteful number, since it uses less digits than its factorization.

1796928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 1796928 is about 1340.4954308016. The cubic root of 1796928 is about 121.5747985632.

It can be divided in two parts, 179692 and 8, that added together give a triangular number (179700 = T599).

The spelling of 1796928 in words is "one million, seven hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 191 192 196 224 294 336 382 392 448 573 588 672 764 784 1146 1176 1337 1344 1528 1568 2292 2352 2674 3056 3136 4011 4584 4704 5348 6112 8022 9168 9359 9408 10696 12224 16044 18336 18718 21392 28077 32088 36672 37436 42784 56154 64176 74872 85568 112308 128352 149744 224616 256704 299488 449232 598976 898464 1796928