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1090250728 = 23747467887
BaseRepresentation
bin100000011111011…
…1110011111101000
32210222111110211121
41000332332133220
54213101010403
6300103505024
736005656360
oct10076763750
92728443747
101090250728
1150a466566
12265158174
13144b49298
14a4b219a0
1565aac3bd
hex40fbe7e8

1090250728 has 64 divisors (see below), whose sum is σ = 2393763840. Its totient is φ = 455815104.

The previous prime is 1090250719. The next prime is 1090250741. The reversal of 1090250728 is 8270520901.

It is a junction number, because it is equal to n+sod(n) for n = 1090250693 and 1090250702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228701 + ... + 1229587.

It is an arithmetic number, because the mean of its divisors is an integer number (37402560).

Almost surely, 21090250728 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 1090250728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196881920).

1090250728 is an abundant number, since it is smaller than the sum of its proper divisors (1303513112).

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

1090250728 is a wasteful number, since it uses less digits than its factorization.

1090250728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 1090250728 is about 33018.9449861742. The cubic root of 1090250728 is about 1029.2213702565.

The spelling of 1090250728 in words is "one billion, ninety million, two hundred fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 467 658 887 934 1316 1774 1868 2632 3269 3548 3736 6209 6538 7096 12418 13076 21949 24836 26152 41689 43898 49672 83378 87796 153643 166756 175592 291823 307286 333512 414229 583646 614572 828458 1167292 1229144 1656916 2334584 2899603 3313832 5799206 11598412 19468763 23196824 38937526 77875052 136281341 155750104 272562682 545125364 1090250728