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1830248 = 23732329
BaseRepresentation
bin110111110110101101000
310102222121222
412332311220
5432031443
6103121212
721362000
oct6766550
93388558
101830248
111040102
12743208
134c10b4
14359000
15262468
hex1bed68

1830248 has 64 divisors (see below), whose sum is σ = 4320000. Its totient is φ = 724416.

The previous prime is 1830223. The next prime is 1830253. The reversal of 1830248 is 8420381.

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, 63098 + ... + 63126.

It is an arithmetic number, because the mean of its divisors is an integer number (67500).

21830248 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 1830248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160000).

1830248 is an abundant number, since it is smaller than the sum of its proper divisors (2489752).

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

1830248 is a wasteful number, since it uses less digits than its factorization.

1830248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1830248 is about 1352.8665861791. The cubic root of 1830248 is about 122.3216452109.

The spelling of 1830248 in words is "one million, eight hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 29 46 49 56 58 92 98 116 161 184 196 203 232 322 343 392 406 644 667 686 812 1127 1288 1334 1372 1421 1624 2254 2668 2744 2842 4508 4669 5336 5684 7889 9016 9338 9947 11368 15778 18676 19894 31556 32683 37352 39788 63112 65366 79576 130732 228781 261464 457562 915124 1830248