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1131024320 = 2656771743
BaseRepresentation
bin100001101101010…
…0000111111000000
32220211012222200122
41003122200333000
54304020234240
6304121435412
740012355666
oct10332407700
92824188618
101131024320
11530485348
1227693bb68
13150423c7a
14aa2d6c36
15694634b5
hex436a0fc0

1131024320 has 112 divisors (see below), whose sum is σ = 2775679488. Its totient is φ = 438789120.

The previous prime is 1131024311. The next prime is 1131024329. The reversal of 1131024320 is 234201311.

It is an interprime number because it is at equal distance from previous prime (1131024311) and next prime (1131024329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131024329) 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 15 ways as a sum of consecutive naturals, for example, 1521869 + ... + 1522611.

Almost surely, 21131024320 is an apocalyptic number.

1131024320 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 1131024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387839744).

1131024320 is an abundant number, since it is smaller than the sum of its proper divisors (1644655168).

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

1131024320 is an equidigital number, since it uses as much as digits as its factorization.

1131024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1131024320 is about 33630.7050178851. The cubic root of 1131024320 is about 1041.8950654654.

Adding to 1131024320 its reverse (234201311), we get a palindrome (1365225631).

The spelling of 1131024320 in words is "one billion, one hundred thirty-one million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 71 80 134 142 160 268 284 320 335 355 536 568 670 710 743 1072 1136 1340 1420 1486 2144 2272 2680 2840 2972 3715 4288 4544 4757 5360 5680 5944 7430 9514 10720 11360 11888 14860 19028 21440 22720 23776 23785 29720 38056 47552 47570 49781 52753 59440 76112 95140 99562 105506 118880 152224 190280 199124 211012 237760 248905 263765 304448 380560 398248 422024 497810 527530 761120 796496 844048 995620 1055060 1522240 1592992 1688096 1991240 2110120 3185984 3376192 3534451 3982480 4220240 7068902 7964960 8440480 14137804 15929920 16880960 17672255 28275608 35344510 56551216 70689020 113102432 141378040 226204864 282756080 565512160 1131024320