Search a number
-
+
1505028 = 2237192341
BaseRepresentation
bin101101111011100000100
32211110111210
411233130010
5341130103
652131420
715535560
oct5573404
92743453
101505028
11938828
12606b70
13409065
142b26a0
151eae03
hex16f704

1505028 has 96 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 380160.

The previous prime is 1505011. The next prime is 1505033. The reversal of 1505028 is 8205051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1504995 and 1505013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36688 + ... + 36728.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

21505028 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 1505028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257920).

1505028 is an abundant number, since it is smaller than the sum of its proper divisors (3010812).

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

1505028 is a wasteful number, since it uses less digits than its factorization.

1505028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1505028 is about 1226.7958265335. The cubic root of 1505028 is about 114.5991843489.

The spelling of 1505028 in words is "one million, five hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 41 42 46 57 69 76 82 84 92 114 123 133 138 161 164 228 246 266 276 287 322 399 437 483 492 532 574 644 779 798 861 874 943 966 1148 1311 1558 1596 1722 1748 1886 1932 2337 2622 2829 3059 3116 3444 3772 4674 5244 5453 5658 6118 6601 9177 9348 10906 11316 12236 13202 16359 17917 18354 19803 21812 26404 32718 35834 36708 39606 53751 65436 71668 79212 107502 125419 215004 250838 376257 501676 752514 1505028