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1109963040 = 253513716879
BaseRepresentation
bin100001000101000…
…1011000100100000
32212100120222001020
41002022023010200
54233122304130
6302050205440
736335346564
oct10212130440
92770528036
101109963040
1151a5aa72a
1226b883880
13148c5b784
14a75b36a4
15676a2e10
hex4228b120

1109963040 has 96 divisors (see below), whose sum is σ = 3522113280. Its totient is φ = 293812224.

The previous prime is 1109963039. The next prime is 1109963051. The reversal of 1109963040 is 403699011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1109962992 and 1109963010.

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, 57321 + ... + 74199.

It is an arithmetic number, because the mean of its divisors is an integer number (36688680).

Almost surely, 21109963040 is an apocalyptic number.

1109963040 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 1109963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761056640).

1109963040 is an abundant number, since it is smaller than the sum of its proper divisors (2412150240).

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

1109963040 is a wasteful number, since it uses less digits than its factorization.

1109963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17034 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1109963040 is about 33316.1078158899. The cubic root of 1109963040 is about 1035.3873133269.

The spelling of 1109963040 in words is "one billion, one hundred nine million, nine hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 160 240 274 411 480 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 4384 5480 6576 8220 10960 13152 16440 16879 21920 32880 33758 50637 65760 67516 84395 101274 135032 168790 202548 253185 270064 337580 405096 506370 540128 675160 810192 1012740 1350320 1620384 2025480 2312423 2700640 4050960 4624846 6937269 8101920 9249692 11562115 13874538 18499384 23124230 27749076 34686345 36998768 46248460 55498152 69372690 73997536 92496920 110996304 138745380 184993840 221992608 277490760 369987680 554981520 1109963040