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1131747840 = 2932549121
BaseRepresentation
bin100001101110101…
…0001101000000000
32220212120202011200
41003131101220000
54304211412330
6304145141200
740021461246
oct10335215000
92825522150
101131747840
115309299a3
1227702a800
131506183a2
14aa444796
1569557a60
hex43751a00

1131747840 has 120 divisors (see below), whose sum is σ = 3919640868. Its totient is φ = 301793280.

The previous prime is 1131747839. The next prime is 1131747857. The reversal of 1131747840 is 487471311.

It can be written as a sum of positive squares in 2 ways, for example, as 1006665984 + 125081856 = 31728^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1131747795 and 1131747804.

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 11 ways as a sum of consecutive naturals, for example, 1521 + ... + 47600.

Almost surely, 21131747840 is an apocalyptic number.

1131747840 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 1131747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959820434).

1131747840 is an abundant number, since it is smaller than the sum of its proper divisors (2787893028).

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

1131747840 is an equidigital number, since it uses as much as digits as its factorization.

1131747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49150 (or 49131 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1131747840 is about 33641.4601347801. The cubic root of 1131747840 is about 1042.1171860154.

The spelling of 1131747840 in words is "one billion, one hundred thirty-one million, seven hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 49121 98242 147363 196484 245605 294726 392968 442089 491210 589452 736815 785936 884178 982420 1178904 1473630 1571872 1768356 1964840 2210445 2357808 2947260 3143744 3536712 3929680 4420890 4715616 5894520 6287488 7073424 7859360 8841780 9431232 11789040 12574976 14146848 15718720 17683560 18862464 23578080 25149952 28293696 31437440 35367120 37724928 47156160 56587392 62874880 70734240 75449856 94312320 113174784 125749760 141468480 188624640 226349568 282936960 377249280 565873920 1131747840