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1065431040 = 2123517341
BaseRepresentation
bin111111100000010…
…011000000000000
32202020210111121220
4333200103000000
54140222243130
6253415515040
735255004642
oct7740230000
92666714556
101065431040
114a7454123
12258988a80
1313c96918b
14a1700892
1563808410
hex3f813000

1065431040 has 104 divisors (see below), whose sum is σ = 3409159728. Its totient is φ = 284098560.

The previous prime is 1065430997. The next prime is 1065431057. The reversal of 1065431040 is 401345601.

It is a super-2 number, since 2×10654310402 = 2270286601990963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1065431040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52770 + ... + 70110.

It is an arithmetic number, because the mean of its divisors is an integer number (32780382).

Almost surely, 21065431040 is an apocalyptic number.

1065431040 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 1065431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704579864).

1065431040 is an abundant number, since it is smaller than the sum of its proper divisors (2343728688).

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

1065431040 is an equidigital number, since it uses as much as digits as its factorization.

1065431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17373 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1065431040 is about 32640.9411629015. The cubic root of 1065431040 is about 1021.3512272647.

Adding to 1065431040 its reverse (401345601), we get a palindrome (1466776641).

The spelling of 1065431040 in words is "one billion, sixty-five million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 17341 20480 30720 34682 52023 61440 69364 86705 104046 138728 173410 208092 260115 277456 346820 416184 520230 554912 693640 832368 1040460 1109824 1387280 1664736 2080920 2219648 2774560 3329472 4161840 4439296 5549120 6658944 8323680 8878592 11098240 13317888 16647360 17757184 22196480 26635776 33294720 35514368 44392960 53271552 66589440 71028736 88785920 106543104 133178880 177571840 213086208 266357760 355143680 532715520 1065431040