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1920828 = 2237131759
BaseRepresentation
bin111010100111100111100
310121120212210
413110330330
5442431303
6105100420
722220040
oct7247474
93546783
101920828
1110a2168
12787710
135233b0
14380020
1527e203
hex1d4f3c

1920828 has 48 divisors (see below), whose sum is σ = 5519360. Its totient is φ = 506304.

The previous prime is 1920817. The next prime is 1920839. The reversal of 1920828 is 8280291.

It is an interprime number because it is at equal distance from previous prime (1920817) and next prime (1920839).

It is a junction number, because it is equal to n+sod(n) for n = 1920795 and 1920804.

It is a congruent number.

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, 213 + ... + 1971.

21920828 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 1920828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759680).

1920828 is an abundant number, since it is smaller than the sum of its proper divisors (3598532).

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

1920828 is a wasteful number, since it uses less digits than its factorization.

1920828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1920828 is about 1385.9393926143. The cubic root of 1920828 is about 124.3071642574.

It can be divided in two parts, 19208 and 28, that multiplied together give a 5-th power (537824 = 145).

The spelling of 1920828 in words is "one million, nine hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1759 3518 5277 7036 10554 12313 21108 22867 24626 36939 45734 49252 68601 73878 91468 137202 147756 160069 274404 320138 480207 640276 960414 1920828