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1099386480 = 2435311071381
BaseRepresentation
bin100000110000111…
…0100111001110000
32211121200121201210
41001201310321300
54222420331410
6301031400120
736146426253
oct10141647160
92747617653
101099386480
11514636375
12268223040
131469c765a
14a601d09a
15667b4220
hex41874e70

1099386480 has 160 divisors (see below), whose sum is σ = 3553486848. Its totient is φ = 280857600.

The previous prime is 1099386419. The next prime is 1099386487. The reversal of 1099386480 is 846839901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099386487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 795390 + ... + 796770.

Almost surely, 21099386480 is an apocalyptic number.

1099386480 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 1099386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776743424).

1099386480 is an abundant number, since it is smaller than the sum of its proper divisors (2454100368).

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

1099386480 is a wasteful number, since it uses less digits than its factorization.

1099386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1099386480 is about 33156.9974515184. The cubic root of 1099386480 is about 1032.0881632510.

The spelling of 1099386480 in words is "one billion, ninety-nine million, three hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 107 120 124 155 186 214 240 248 310 321 372 428 465 496 535 620 642 744 856 930 1070 1240 1284 1381 1488 1605 1712 1860 2140 2480 2568 2762 3210 3317 3720 4143 4280 5136 5524 6420 6634 6905 7440 8286 8560 9951 11048 12840 13268 13810 16572 16585 19902 20715 22096 25680 26536 27620 33144 33170 39804 41430 42811 49755 53072 55240 66288 66340 79608 82860 85622 99510 110480 128433 132680 147767 159216 165720 171244 199020 214055 256866 265360 295534 331440 342488 398040 428110 443301 513732 591068 642165 684976 738835 796080 856220 886602 1027464 1182136 1284330 1477670 1712440 1773204 2054928 2216505 2364272 2568660 2955340 3424880 3546408 4433010 4580777 5137320 5910680 7092816 8866020 9161554 10274640 11821360 13742331 17732040 18323108 22903885 27484662 35464080 36646216 45807770 54969324 68711655 73292432 91615540 109938648 137423310 183231080 219877296 274846620 366462160 549693240 1099386480