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1090019328 = 2133172609
BaseRepresentation
bin100000011111000…
…0110000000000000
32210222001201102020
41000332012000000
54213021104303
6300054521440
736004003626
oct10076060000
92728051366
101090019328
1150a318722
12265066280
13144a97b68
14a4aa1516
1565a63a53
hex40f86000

1090019328 has 112 divisors (see below), whose sum is σ = 3078693360. Its totient is φ = 341835776.

The previous prime is 1090019323. The next prime is 1090019351. The reversal of 1090019328 is 8239100901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090019323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416488 + ... + 419096.

Almost surely, 21090019328 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 1090019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539346680).

1090019328 is an abundant number, since it is smaller than the sum of its proper divisors (1988674032).

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

1090019328 is an equidigital number, since it uses as much as digits as its factorization.

1090019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1090019328 is about 33015.4407512606. The cubic root of 1090019328 is about 1029.1485494914.

The spelling of 1090019328 in words is "one billion, ninety million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 2609 3072 3264 4096 4352 5218 6144 6528 7827 8192 8704 10436 12288 13056 15654 17408 20872 24576 26112 31308 34816 41744 44353 52224 62616 69632 83488 88706 104448 125232 133059 139264 166976 177412 208896 250464 266118 333952 354824 417792 500928 532236 667904 709648 1001856 1064472 1335808 1419296 2003712 2128944 2671616 2838592 4007424 4257888 5343232 5677184 8014848 8515776 10686464 11354368 16029696 17031552 21372928 22708736 32059392 34063104 45417472 64118784 68126208 90834944 136252416 181669888 272504832 363339776 545009664 1090019328