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1090004520 = 233511978513
BaseRepresentation
bin100000011111000…
…0010011000101000
32210222000222002210
41000332002120220
54213020121040
6300054325120
736003612513
oct10076023050
92728028083
101090004520
1150a308590
122650597a0
13144a911b7
14a4a99d7a
1565a5e480
hex40f82628

1090004520 has 128 divisors (see below), whose sum is σ = 3604487040. Its totient is φ = 261488640.

The previous prime is 1090004479. The next prime is 1090004533. The reversal of 1090004520 is 254000901.

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, 123784 + ... + 132296.

It is an arithmetic number, because the mean of its divisors is an integer number (28160055).

Almost surely, 21090004520 is an apocalyptic number.

1090004520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802243520).

1090004520 is an abundant number, since it is smaller than the sum of its proper divisors (2514482520).

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

1090004520 is a wasteful number, since it uses less digits than its factorization.

1090004520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1090004520 is about 33015.2164917936. The cubic root of 1090004520 is about 1029.1438891151.

The spelling of 1090004520 in words is "one billion, ninety million, four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 120 132 165 194 220 264 291 330 388 440 485 582 660 776 970 1067 1164 1320 1455 1940 2134 2328 2910 3201 3880 4268 5335 5820 6402 8513 8536 10670 11640 12804 16005 17026 21340 25539 25608 32010 34052 42565 42680 51078 64020 68104 85130 93643 102156 127695 128040 170260 187286 204312 255390 280929 340520 374572 468215 510780 561858 749144 825761 936430 1021560 1123716 1404645 1651522 1872860 2247432 2477283 2809290 3303044 3745720 4128805 4954566 5618580 6606088 8257610 9083371 9909132 11237160 12386415 16515220 18166742 19818264 24772830 27250113 33030440 36333484 45416855 49545660 54500226 72666968 90833710 99091320 109000452 136250565 181667420 218000904 272501130 363334840 545002260 1090004520