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1904028 = 2237191193
BaseRepresentation
bin111010000110110011100
310120201211120
413100312130
5441412103
6104450540
722120050
oct7206634
93521746
101904028
111090585
12779a50
13518859
14377c60
15279253
hex1d0d9c

1904028 has 48 divisors (see below), whose sum is σ = 5349120. Its totient is φ = 514944.

The previous prime is 1904027. The next prime is 1904029. The reversal of 1904028 is 8204091.

1904028 = T107 + T108 + ... + T232.

It is an interprime number because it is at equal distance from previous prime (1904027) and next prime (1904029).

It is a junction number, because it is equal to n+sod(n) for n = 1903989 and 1904007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (111440).

21904028 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 1904028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674560).

1904028 is an abundant number, since it is smaller than the sum of its proper divisors (3445092).

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

1904028 is a wasteful number, since it uses less digits than its factorization.

1904028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1904028 is about 1379.8652108086. The cubic root of 1904028 is about 123.9436962560.

The spelling of 1904028 in words is "one million, nine hundred four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1193 1596 2386 3579 4772 7158 8351 14316 16702 22667 25053 33404 45334 50106 68001 90668 100212 136002 158669 272004 317338 476007 634676 952014 1904028